If the curves y4 = x and xy = k intersect at right angle, then the value of (4k)6 is

If the curves y4 = x and xy = k intersect at right angle, then the value of (4k)6 is

    Register to Get Free Mock Test and Study Material

    +91

    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    The equations of the curves are

        y4=x and xy=k

    These two curves intersect at k4/5,k1/5.

    Now,

         y4=x and xy=k

     4y3dydx=1 and xdydx+y=0

     dydx=14y3 and dydx=yx

     dydxC1=14k3/5 and  dydxC2=k3/5

    If the curves intersect at right angle, then

     14k3/5×k3/5=1k6/5=14k6=145(4k)6=4

    Chat on WhatsApp Call Infinity Learn

      Register to Get Free Mock Test and Study Material

      +91

      Verify OTP Code (required)

      I agree to the terms and conditions and privacy policy.