Class 11

Math

Co-ordinate Geometry

Conic Sections

Find the equation of the circle passing through the points (4, 1) and (6, 5) and whose centre is on the line $4x+y=16$.

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

$XY$and $XprimeYprime$are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting $XY$at A and $XprimeYprime$at B. Prove that $∠AOB=90o$

If three points are $A(−2,1)B(2,3),andC(−2,−4)$ , then find the angle between $ABandBC˙$

In what ratio does the x=axis divide the line segment joining the points $(2,−3)$ and (5, 6)?

If the point $(2,3),(1,1),and(x,3x)$ are collinear, then find the value of $x,$ using slope method.

Find the equations of the hyperbola satisfying the given conditions :Foci $(0,±13)$, the conjugate axis is of length 24.

Find the equation for the ellipse that satisfies the given conditions:Vertices $(±6,0)$, foci $(±4,0)$

Find the equations of the hyperbola satisfying the given conditions :Foci $(±4,0)$, the latus rectum is of length 12

Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre.