MEDIUM
12th Andhra Pradesh Board
IMPORTANT
Earn 100

Find the equation of the tangent and normal to the parabola x2-4x-8y+12=0 at 4,32

Important Questions on Parabola

MEDIUM
12th Andhra Pradesh Board
IMPORTANT
Find the value of k if the line 2y=5x+k is a tangent to the parabola y2=6x
MEDIUM
12th Andhra Pradesh Board
IMPORTANT

Find the equation of the normal to the parabola y2=4x which is parallel to y-2x+5=0.

MEDIUM
12th Andhra Pradesh Board
IMPORTANT
Show that the line 2x-y+2=0 is a tangent to the parabola y2=16x. Find the point of contact also.
MEDIUM
12th Andhra Pradesh Board
IMPORTANT
Find the equation of tangent to the parabola y2=16x included at an angle 60° with its axis and also find the point of contact.
HARD
12th Andhra Pradesh Board
IMPORTANT
Find the equation of tangent to the parabola y2=16x which are parallel and perpendicular respectively to the line 2x-y+5=0, also find the coordinates of their points of contact.
MEDIUM
12th Andhra Pradesh Board
IMPORTANT
If lx+my+n=0 is a normal to the parabola y2=4ax, then show that al3+2alm2+nm2=0.
MEDIUM
12th Andhra Pradesh Board
IMPORTANT
Show that the equation of common tangent to the circle x2+y2=2a2 and the parabola y2=8ax are y=±x+2a.
MEDIUM
12th Andhra Pradesh Board
IMPORTANT
Prove that tangents at the extremities of a focal chord of a parabola intersect at right angles on the directrix.