TS EAMCET 19-July-2022 Shift 2 Solved Paper

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.