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Let A (0,0) and B(8,2) be two fixed poin...

Let A (0,0) and B(8,2) be two fixed points on the curve `y^(3) =|x|` A point C (abscissa is less than 0) starts moving from origin along the curve such that rate of change in the ordinate is 2 cm/sec. After `t_(0)` seconds, triangle ABC becomes a right triangle.
After `t_(0)` secods, tangent is drawn to teh curve at point C to intersect it again at `(alpha,beta).` Then the value of `4alpha+3 beta` is

A

1 sec

B

2 sec

C

`1/4` sec

D

`1/2` sec

Text Solution

Verified by Experts

The correct Answer is:
C
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