Find the equation of the ellipse with centre at the origin, major axis on the y –axis & passing through the points (3, 2) & (1,6)
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If y = 2x is a chord of the circle x2 + y2 -10x = 0, find the equation of the circle
with this chord as a diameter
Find the equation of the parabola with focus at F (4,0) & directrix x = -3
Find the equation of the ellipse, the ends of whose major axis are (±3,0)& atthe ends of whose minor axis are (0,±4)
Find the equation of the hyperbola with centre at the origin, length of thetrans verse axis 6 & one focus at (0, 4)
Find the length of latcus rectum of x2 = -22y
( A)11 (B) - 22 (C)22 (D) None of these
Find the centre of the circles x2 + ( y -1)2 = 2
( A) (1,0) (B) (0,1) (C) (1, 2) (D)None of these
Find the equation of the hyperbola whose foci are at (0,± √10 )& which passesthrough the point (2,3).
Find the equation of the curve formed by the set of all these points the sum ofwhose distance from the points A(4,0,0) & B(-4,0,0) is 10 units.
Find the equation of the hyperbola where foci are (±5,0)& the transverse axisis of length 8.
Find the equation of a circle, the end points of one of whose diameters areA(-3, 2)& B(5,-3).
Find the equation of the hyperbola whose foci are (±5,0)& the transverse axisis of length 8.
Find the equation of ellipse whose vertices are (0,±13)& the foci are (0,±5)
Find the length of minor axis of
x2+ 4y2=100
( A)10 units (B)12 units (C)14 units (D)8 units
Find the equation of the hyperbola whose foci are at (0,± √10 )& which passesthrough the points (2,3)
An equilateral triangle is inscribed in the parabola y2 = 4ax so that one
angular point of the triangle is at the vertex of the parabola. Find the length of
each side of the triangle.
Find the equation of a circle, the end points of one of whose diameters areA(2,-3)& B(-3,5).
Find the equation of the parabola with vertex at the origin & y+5 = 0 as itsdirectrix. Also, find its focus
Find the equation of the ellipse, the ends of whose major axis are (±7,0) & theends of whose minor axis are (0,±2)
Find the equation of the hyperbola whose vertices are (0,±3)& foci are(0,±8)
Find the equation of the hyperbola whose foci are at (0,±B)& the length ofwhose conjugate axis is 2 √11
Find the equation of the parabola with focus F (4,0) & directrix x = -4
( A) y2 = 32x (B) y2 = -16x (C) y2 = 8x (D) y2 =16x
The equation x2 + y2 -12x +8y - 72 = 0represent a circle find its centre
( A)(-6,-4) (B)(6,-4) (C)(6, 4) (D)(-6, 4)
A man running in a race course notes that the sum of the distances of the two flagposts from him is always 12 m & the distance between the flag posts is 10 m. findthe equation of the path traced by the man.
Find the area of the triangle formed by the lines joining the vertex of the parabola
x2 =12y to the ends of its latus rectum.
Find the equation of the hyperbola with centre at the origin, length of thetransverse axis 8 & one focus at (0,6)
Find the equation of the ellipse whose foci are (0,±3)& length of whose major axisis 10
Find the equation of an ellipse whose vertices are (0,±13) & the foci are (0,±5)
Find the equation of the hyperbola with centre at the origin, length of thetransverse axis 18 & one focus at (0,4)
Find the equation of the parabola with focus at F (5,0)& directrix is x = -5
Show that the equation 6x2 + 6y2 + 24x -36y -18 = 0 represents a circle. Also find
its centre & radius.
Find the length of the latus rectum of 3x2 + 2y2 =18?
( A)2 units (B)3 units (C)4 units (D)none of these
Does the point (-2.5, 3.5) lie inside, outside or on the circle x2 + y2 = 25?
Find the equation of a circle with centre (2, 2) and passes through the point (4, 5).
Find the equation of the circle passing through (0, 0) and making intercepts a and b on the coordinate axes.
Find the equation of the circle with radius 5 whose centre lies on x-axis and passes through the point (2, 3).
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.
Find the centre and radius of the circle x2 + y2 - 8x + 10y - 12 = 0
Find the centre and radius of the circle x2 + y2 - 4x - 8y - 45 = 0
Find the centre and radius of the circle (x + 5)2 + (y - 3)2 = 36
Find the equation of the circle with centre (–a, –b) and radius
Find the equation of the circle with centre (1, 1) and radius
Find the equation of the circle with centreand radius
Find the equation of the circle with centre (-2, 3) and radius 4
Find the equation of the circle with centre (0, 2) and radius 2