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

Total Price: Rs.

There are no items in this cart.
Continue Shopping
Tushar Watts Grade: 12

Show that the families of curves defined by the eqn y=ax, y2+x2=c2 are perp for

(a)a=2,c=4   (b)a=-2,c=3    (c) a=3,c=2       (d) a=3,c=-2

8 years ago

Answers : (1)

Pratham Ashish
17 Points
										hi Tushar,

y^2+x^2=c^2 is a circle that has its center as the origin and the line y = ax is straight line that passes through the centre. the line of this family will always represent a radius of the circle. it is known that the radius is always perpendicular to a tangent according to the definition of tangents, hence this family of lines is always normal to the circle irrespective of the values of c and a (a just defines the slope of the line and c is the length of the radius of the circle), so these two families of curve are perpendicular for all values of a & c.

Please feel free to post as many doubts on our disucssion forum as you can. If you find any question difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE preparation. All the best .

Askiitians Experts Pratham
IIT - Delhi

8 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: Rs. 15,900
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!! Click Here for details