WB JEE 2016 | Trigonometric Functions & Equations Question 43 | Mathematics

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WB JEE 2016

MCQ (Single Correct Answer)

-0.25

The order of the differential equation of all parabolas whose axis of symmetry along X-axis is

None of these

WB JEE 2016

MCQ (Single Correct Answer)

-0.25

The area enclosed by $$y = \sqrt {5 - {x^2}} $$ and $$y = |x - 1|$$ is

$$\left( {{{5\pi } \over 4} - 2} \right)$$ sq units

$$\left( {{{5\pi - 2} \over 2}} \right)$$ sq units

$$\left( {{{5\pi } \over 4} - {1 \over 2}} \right)$$ sq units

$$\left( {{\pi \over 2} - 5} \right)$$ sq units

WB JEE 2016

MCQ (Single Correct Answer)

-0.25

Let S be the set of points, whose abscissae and ordinates are natural numbers. Let P $$ \in $$ S, such that the sum of the distance of P from (8, 0) and (0, 12) is minimum among all elements in S. Then, the number of such points P and S is

WB JEE 2016

MCQ (Single Correct Answer)

-0.25

If x is a positive real number different from 1 such that log_ax, log_bx, log_cx are in AP, then

$$b = {{a + c} \over 2}$$

$$b = \sqrt {ac} $$

$${c^2} = {(ac)^{{{\log }_a}b}}$$

None of these

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