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

A tangent to the ellipse x 2 +4y 2 =4 meets the ellipse x 2 +2y 2 =6 at P &Q.The angle b/w the tangents at P & Q of ellipse x 2 +2y 2 =6 is......

A tangent to the ellipse x2 +4y2=4 meets the ellipse x2+2y2=6 at P &Q.The angle b/w the tangents at P & Q of ellipse  x2+2y2=6 is......

Grade:Select Grade

1 Answers

Ravi
askIITians Faculty 69 Points
6 years ago
Draw the 2 ellipse in the figure. At a point(take for instance (0,1) for convenience and symmtry), draw a tangent to the first ellipse cutting the second at 2 points. As we know the slpoe of tangent and also a point through which it passes, calculate the eqn of tangent. Calculate the points of intersection of tangent with the second elipse. Calculate the derivative of this ellipse at these points to obtain their slope at these points. This gives the slope of tangents at these points. Hence, calculate the angle by using these 2 slopes.

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