NIMCET 2017 — Mathematics PYQ

Q: How do I solve NIMCET 2017 Mathematics questions?

Practice NIMCET 2017 Mathematics previous year questions with step-by-step solutions on Mathem Solvex. Each question includes a detailed explanation and video solution to help you master the concept quickly.

Q: What is the difficulty level of NIMCET Mathematics questions?

NIMCET Mathematics questions range from moderate to advanced difficulty. Consistent practice with official previous year papers and topic-wise drills on Mathem Solvex is the most effective preparation strategy.

Q: Are NIMCET previous year papers available for free?

Yes. Mathem Solvex provides free access to NIMCET previous year question papers and topic-wise PDFs. You can download them or attempt them as timed live mock tests directly on the platform.

Question

NIMCET 2017 — Mathematics PYQ

NIMCET | Mathematics | 2017

The equation of the tangent line to the curve $y = 2 x s in x$ at the point $(π/2, π)$ is

Choose the correct answer:

Explanation

Concept:

The equation of tangent at point (x₁, y₁) with slope m is given by

$(y - y_{1}) = m (x - x_{1})$

Calculations:

Given curve is y=2x sin x
Taking derivative on both side, we get
$\frac{dy}{dx} = 2 x cos x + 2 sin x$

Put x $= \frac{π}{2}$ to find the equation of tangent at the point $(\frac{π}{2}, π) .$

$\frac{dy}{dx} = 2 \frac{π}{2} cos \frac{π}{2} + 2 sin \frac{π}{2}$

$\frac{dy}{dx} = 2$

The equation of tangent at point (x $_{1}, y_{1})$ with slope m is given by

$(y - y_{1}) = m (x - x_{1})$

( y- $π$ ) = 2( x- $\frac{π}{2}$ ) y= 2x Hence, the equation of the tangent line to the curve y= 2x sin x at the point $(\frac{π}{2}, π)$ is 2x.