Class 11

Math

Co-ordinate Geometry

Conic Sections

Find the equation of the curve whose parametric equation are $x=1+4cosθ,y=2+3sinθ,θ∈R˙$

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

The sum of the slopes of the lines tangent to both the circles $x_{2}+y_{2}=1$ and $(x−6)_{2}+y_{2}=4$ is________

If the circles of same radius $a$ and centers at $(2,3)and(5,6)$ cut orthogonally, then find $a.$

If the lines $x+y=6andx+2y=4$ are diameters of the circle which passes through the point (2, 6), then find its equation.

Find the equations of the circles which pass through the origin and cut off chords of length $a$ from each of the lines $y=xandy=−x$

Tangents are drawn to $x_{2}+y_{2}=1$ from any arbitrary point $P$ on the line $2x+y−4=0$ . The corresponding chord of contact passes through a fixed point whose coordinates are $(21 ,21 )$ (b) $(21 ,1)$ $(21 ,41 )$ (d) $(1,21 )$

Find the image of the circle $x_{2}+y_{2}−2x+4y−4=0$ in the line $2x−3y+5=0$

Let $P$ be a point on the circle $x_{2}+y_{2}=9,Q$ a point on the line $7x+y+3=0$ , and the perpendicular bisector of $PQ$ be the line $x−y+1=0$ . Then the coordinates of $P$ are $(0,−3)$ (b) $(0,3)$ $(2572 ,3521 )$ (d) $(−2572 ,2521 )$

If the circle $x_{2}+y_{2}=1$ is completely contained in the circle $x_{2}+y_{2}+4x+3y+k=0$ , then find the values of $k˙$