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Maths-

General

Easy

Question

The number of integral values of k for which the equation $7 cos space x plus 5 sin space x equals 2 k plus 1$ has a solution is

4
8
10
12

The correct answer is: 8

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Number of solutions of the equation $Tan space x plus Sec space x equals 2 Cos space x$ in the interval $left square bracket 0 comma 2 pi right square bracket$ is

Number of solutions of the equation $Tan space x plus Sec space x equals 2 Cos space x$ in the interval $left square bracket 0 comma 2 pi right square bracket$ is

Yellow light is used in single slit diffraction experiment with slit width 0.6 mm. If yellow light is replaced by X-rays then the pattern will reveal

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In a right angled triangle, the hypotenuse is $2 square root of 2$ times the length of the perpendicular drawn from the opposite vertex to the hypotenuse. Then the other two angles are

In a right angled triangle, the hypotenuse is $2 square root of 2$ times the length of the perpendicular drawn from the opposite vertex to the hypotenuse. Then the other two angles are

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If the figure below represents a parabola, identify the physical quantities representing $Y blank a n d blank X$ for constant acceleration

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The graph of displacement-time for a body travelling in a straight line is given. We can conclude that

The graph of displacement-time for a body travelling in a straight line is given. We can conclude that

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A particle moves along $x$ -axis as $x equals 4 open parentheses t minus 2 close parentheses plus a open parentheses t minus 2 close parentheses to the power of 2 end exponent$ Which of the following is true

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Acceleration-time graph of a body is shown. The corresponding velocity-time graph of the same body is

Acceleration-time graph of a body is shown. The corresponding velocity-time graph of the same body is

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The equation $left parenthesis Cos space p minus 1 right parenthesis x squared plus left parenthesis Cos space p right parenthesis x plus Sin space p equals 0$ where χ is a variable with real roots, then the interval of p may be any one of the following

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An engine is moving on a circular track with a constant speed. It is blowing a whistle of frequency $500 blank H z.$ The frequency received by an observer standing stationary at the centre of the track is

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In Young’s experiment, monochromatic light is used to illuminate the two slits A and B. Interference fringes are observed on a screen placed in front of the slits. Now if a thin glass plate is placed normally in the path of the beam coming from the slit

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Figure shows the acceleration-time graphs of a particle. Which of the following represents the corresponding velocity-time graphs?

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If $Cos space 20 to the power of ring operator equals k$ and $Cos space x equals 2 bold k squared minus 1$ , then the possible values of χ between $0 to the power of ring operator$ and $360 to the power of ring operator$ are

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B) Area bounded by $y to the power of 2 end exponent equals 4 x$ and $x to the power of 2 end exponent equals 4 y$
C) Area bounded by $y equals 4 x plus x to the power of 2 end exponent$ between x=0,x=1,x- axis
D) Area bounded by $y to the power of 2 end exponent equals 4 x$ and y=2x Arrange the above statements in the ascending order of areas.

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B) Area bounded by $y to the power of 2 end exponent equals 4 x$ and $x to the power of 2 end exponent equals 4 y$
C) Area bounded by $y equals 4 x plus x to the power of 2 end exponent$ between x=0,x=1,x- axis
D) Area bounded by $y to the power of 2 end exponent equals 4 x$ and y=2x Arrange the above statements in the ascending order of areas.

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A particle moves along the sides $A B comma B C comma C D$ of a square of side $25 blank m$ wuth a velocity of $15 blank m s to the power of negative 1 end exponent$ . Its average velocity is

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