Find the equation of the circle with centre (0, 2) and radius 2
Answer :
The equation of a circle with centre (h, k) and radius r is given as
(x - h)^{2} + (y - k)^{2} = r^{2}
It is given that centre (h, k) = (0, 2) and radius (r) = 2.
Therefore, the equation of the circle is
(x - 0)^{2} + (y - 2)^{2} = 2^{2}
x^{2} + y^{2} + 4 - 4 y = 4
x^{2} + y^{2} - 4y = 0
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Find the equation of the circle with centre (-2, 3) and radius 4
Answer :
The equation of a circle with centre (h, k) and radius r is given as
(x - h)^{2} + (y - k)^{2} = r^{2}
It is given that centre (h, k) = (-2, 3) and radius (r) = 4.
Therefore, the equation of the circle is
(x + 2)^{2} + (y - 3)^{2} = (4)^{2}
x^{2} + 4x + 4 + y^{2} - 6y + 9 = 16
x^{2} + y^{2} + 4x - 6y - 3 = 0
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Find the equation of the circle with centreand radius
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Find the equation of the circle with centre (1, 1) and radius
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Find the equation of the circle with centre (â€“a, â€“b) and radius
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Find the centre and radius of the circle (x + 5)^{2} + (y - 3)^{2} = 36
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Find the centre and radius of the circle x^{2} + y^{2} - 4x - 8y - 45 = 0
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Find the centre and radius of the circle x^{2} + y^{2} - 8x + 10y - 12 = 0
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Find the centre and radius of the circle 2x^{2} + 2y^{2} - x = 0
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Find the equation of the circle passing through the points (4, 1) and (6, 5) and whose centre is on the line 4x + y = 16.
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Find the equation of the circle passing through the points (2, 3) and (-1, 1) and whose centre is on the line x - 3y - 11 = 0.
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Find the equation of the circle with radius 5 whose centre lies on x-axis and passes through the point (2, 3).
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Find the equation of the circle passing through (0, 0) and making intercepts a and b on the coordinate axes.
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Find the equation of a circle with centre (2, 2) and passes through the point (4, 5).
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Does the point (-2.5, 3.5) lie inside, outside or on the circle x^{2} + y^{2} = 25?
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Find the coordinates of the focus, axis of the parabola, the equation of directrix and the length of the latus rectum for y^{2} = 12x
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Find the coordinates of the focus, axis of the parabola, the equation of directrix and the length of the latus rectum for x^{2} = 6y
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Find the coordinates of the focus, axis of the parabola, the equation of directrix and the length of the latus rectum for y^{2} = - 8x
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Find the coordinates of the focus, axis of the parabola, the equation of directrix and the length of the latus rectum for x^{2} = - 16y
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Find the coordinates of the focus, axis of the parabola, the equation of directrix and the length of the latus rectum for y^{2} = 10x
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Find the coordinates of the focus, axis of the parabola, the equation of directrix and the length of the latus rectum for x^{2} = -9y
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Find the equation of the parabola that satisfies the following conditions: Focus (6, 0); directrix x = -6
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Find the equation of the parabola that satisfies the following conditions: Focus (0, -3); directrix y = 3
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Find the equation of the parabola that satisfies the following conditions: Vertex (0, 0); focus (3, 0)
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Find the equation of the parabola that satisfies
the following conditions: Vertex (0, 0) focus
(-2, 0)
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Find the equation of the parabola that satisfies the following conditions: Vertex (0, 0) passing through (2, 3) and axis is along x-axis
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Find the equation of the parabola that satisfies the following conditions: Vertex (0, 0), passing through (5, 2) and symmetric with respect to y-axis
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Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse
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Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse
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Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse
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Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse
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Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse
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Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse
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Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse 36x^{2} + 4y^{2} = 144
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Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse 16x^{2} + y^{2} = 16
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Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse 4x^{2} + 9y^{2} = 36
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Find the equation for the ellipse that satisfies the given conditions: Vertices (±5, 0), foci (±4, 0)
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Find the equation for the ellipse that satisfies the given conditions: Vertices (0, ±13), foci (0, ±5)
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Find the equation for the ellipse that satisfies the given conditions: Vertices (±6, 0), foci (±4, 0)
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Find the equation for the ellipse that satisfies the given conditions: Ends of major axis (±3, 0), ends of minor axis (0, ±2)
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Find the equation for the ellipse that satisfies the given conditions: Ends of major axis, ends of minor axis ( ±1, 0)
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Find the equation for the ellipse that satisfies the given conditions: Length of major axis 26, foci (±5, 0)
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Find the equation for the ellipse that satisfies the given conditions: Length of minor axis 16, foci (0, ±6)
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Find the equation for the ellipse that satisfies the given conditions: Foci (±3, 0), a = 4
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Find the equation for the ellipse that satisfies the given conditions: b = 3, c = 4, centre at the origin; foci on the x axis.
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Find the equation for the ellipse that satisfies the given conditions: Centre at (0, 0), major axis on the y-axis and passes through the points (3, 2) and (1, 6).
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Find the equation for the ellipse that satisfies the given conditions: Major axis on the x-axis and passes through the points (4, 3) and (6, 2).
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Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola
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Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola
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Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola 9y^{2} - 4x^{2} = 36
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Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola 16x^{2} - 9y^{2} = 576
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Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola 5y^{2} - 9x^{2} = 36
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Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola 49y^{2} - 16x^{2} = 784
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Find the equation of the hyperbola satisfying the give conditions: Vertices (±2, 0), foci (±3, 0)
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Find the equation of the hyperbola satisfying the give conditions: Vertices (0, ±5), foci (0, ±8)
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Find the equation of the hyperbola satisfying the give conditions: Vertices (0, ±3), foci (0, ±5)
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Find the equation of the hyperbola satisfying the give conditions: Foci (±5, 0), the transverse axis is of length 8.
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Find the equation of the hyperbola satisfying the give conditions: Foci (0, ±13), the conjugate axis is of length 24.
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Find the equation of the hyperbola satisfying the give conditions: Foci, the latus rectum is of length 8.
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Find the equation of the hyperbola satisfying the give conditions: Foci (±4, 0), the latus rectum is of length 12
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Find the equation of the hyperbola satisfying the give conditions: Vertices ( ±7, 0),
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Find the equation of the hyperbola satisfying the give conditions: Foci, passing through (2, 3)
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If a parabolic reflector is 20 cm in diameter and 5 cm deep, find the focus.
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If a parabolic reflector is 20 cm in diameter and 5 cm deep, find the focus.
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An arch is in the form of a parabola with its axis vertical. The arch is 10 m high and 5 m wide at the base. How wide is it 2 m from the vertex of the parabola?
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The cable of a uniformly loaded suspension bridge hangs in the form of a parabola. The roadway which is horizontal and 100 m long is supported by vertical wires attached to the cable, the longest wire being 30 m and the shortest being 6 m. Find the length of a supporting wire attached to the roadway 18 m from the middle.
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An arch is in the form of a semi-ellipse. It is 8 m wide and 2 m high at the centre. Find the height of the arch at a point 1.5 m from one end.
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A rod of length 12 cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point P on the rod, which is 3 cm from the end in contact with the x-axis.
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Find the area of the triangle formed by the lines joining the vertex of the parabola x^{2} = 12y to the ends of its latus rectum.
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A man running a racecourse notes that the sum of the distances from the two flag posts form him is always 10 m and the distance between the flag posts is 8 m. find the equation of the posts traced by the man.
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An equilateral triangle is inscribed in the parabola y^{2} = 4 ax, where one vertex is at the vertex of the parabola. Find the length of the side of the triangle.
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Maths - Maths : CBSE NCERT Exercise Solutions for Class 11th for Conic Sections ( Exercise 11.1, 11.2, 11.3, 11.4, miscellaneous ) will be available online in PDF book form soon. The solutions are absolutely Free. Soon you will be able to download the solutions.
Exercise 11.1 |
Question 1 |
Question 2 |
Question 3 |
Question 4 |
Question 5 |
Question 6 |
Question 7 |
Question 8 |
Question 9 |
Question 10 |
Question 11 |
Question 12 |
Question 13 |
Question 14 |
Question 15 |
Exercise 11.2 |
Question 1 |
Question 2 |
Question 3 |
Question 4 |
Question 5 |
Question 6 |
Question 7 |
Question 8 |
Question 9 |
Question 10 |
Question 11 |
Question 12 |
Exercise 11.4 |
Question 1 |
Question 2 |
Question 3 |
Question 4 |
Question 5 |
Question 6 |
Question 7 |
Question 8 |
Question 9 |
Question 10 |
Question 11 |
Question 12 |
Question 13 |
Question 14 |
Question 15 |
Exercise Miscellaneous |
Question 1 |
Question 2 |
Question 3 |
Question 4 |
Question 5 |
Question 6 |
Question 7 |
Question 8 |
Question 9 |