Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

If two tangents to the parabola y^2=4ax from a point p makes angles theta 1 and theta 2 with the axis of the parabola ,then find the locus of p in each of the following cases. Theta1+theta2=alpha (constant ) and theta 1 + theta 2=π\2

If two tangents to the parabola y^2=4ax from a point p makes angles theta 1 and theta 2 with the axis of the parabola ,then find the locus of p in each of the following cases. Theta1+theta2=alpha (constant ) and theta 1 + theta 2=π\2

Grade:12th pass

1 Answers

Vikas TU
14149 Points
one year ago
Dear Jyoti 

tangent at parabola at (at12,2at1)  is yt1 =x+at12

so tangebt at (at22,2at2)  is yt2 =x+at22

these tangent meat at point P

so point p is

{at1t2,a(t1 +t2)}

 

 tan Θ1 =1/t1

 tanΘ 2 =1/t2

and tan(Θ1 + Θ2) = tan pi/2

simplify

so t1t2 =1

locus of point p

x=at1t2

x=a

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free