Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
The lengths of the perpendiculars from the focus and the extremities of a focal chord of a parabola on the tangent at the vertex formA. HPB. GPC. AP Answer is GP
consider a parabola y^2=4ax; a>0, with focus (a,0) and tangent to the vertex being x=0now, let a focal chord intersect the parabola at (at^2, 2at) and (ap^2, 2ap)as this chord passes thru focus, we have[2ap-2at]/[ap^2-at^2]=2ap/[ap^2-a]or pt= –1or p^2t^2=1now, the lengths from the tangent at vertex are:at^2, a, ap^2we see that a/at^2=ap^2/aso, the lengths are in GP
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -