Assertion : Given, two curve y2=4x and x2=−2y. Solving the two equation to determine the intersecting points =(−
x2
2
)2=4x ⇒x4−16x=0 Either x=0 or x3=16 or x=2(2)1∕3 If x=0,y=0 If ˙x=2(2)
1
3
, then y=−
x2
2
=−
4(2)2∕3
2
=−2(2)2∕3 ∴ The two curve does not intersect at the point (1,2) Reason : The curve are said to intersect orthogonally if the product of the slopes of the tangents drawn to two curves at their point of intersection is −1. Hence, Assertion is false but Reason is true.