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Mathematics: CUET Mock Test - 2 - Question 1

A particle moves in a straight-line OA; the distance of the particle from O at time t seconds is x ft, where x = a + bt + ct^{2} (a, b > 0). What will be the nature of motion of the particle when c = 0?

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Mathematics: CUET Mock Test - 2 - Question 2

A particle moving in a straight line traverses a distance x in time t. If t = x^{2}/2 + x, then which one is correct?

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Mathematics: CUET Mock Test - 2 - Question 3

A particle moves with uniform acceleration along a straight line and describes distances 21m, 43m and 91m at times 2, 4 and 7 seconds, respectively.What is the velocity of the particle in 3 seconds?

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Mathematics: CUET Mock Test - 2 - Question 4

The distance x of a particle moving along a straight line from a fixed point on the line at time t after start is given by t = ax^{2} + bx + c (a, b, c are positive constants). If v be the velocity of the particle and u(≠0) be the initial velocity of the particle then which one is correct?

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Mathematics: CUET Mock Test - 2 - Question 5

A particle moves in a straight line and its velocity v at time t seconds is given byv = 3t^{2} – 4t + 5 cm/second. What will be the distance travelled by the particle during first 3 seconds after the start?

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Mathematics: CUET Mock Test - 2 - Question 6

A particle moves with uniform acceleration along a straight line and describes distances 21m, 43m and 91m at times 2, 4 and 7 seconds,respectively.What is the distance described by the particle in 3 seconds?

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Mathematics: CUET Mock Test - 2 - Question 7

A particle moves in a horizontal straight line under retardation kv^{3}, where v is the velocity at time t and k is a positive constant. If initial velocity be u and x be the displacement at time,then which one is correct?

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Mathematics: CUET Mock Test - 2 - Question 8

The distance s of a particle moving along a straight line from a fixed-pointO on the line at time t seconds after start is given by x = (t – 1)^{2}(t – 2)^{2}. What will be the distance of the particle from O when its velocity is zero?

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Mathematics: CUET Mock Test - 2 - Question 9

What will be the nature of the equation sin(x + α)/sin(x + β)?

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Mathematics: CUET Mock Test - 2 - Question 10

Given, f(x) = x^{3} – 12x^{2} + 45x + 8. What is the maximum value of f(x)?

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Mathematics: CUET Mock Test - 2 - Question 11

Given, f(x) = x^{3} – 12x^{2} + 45x + 8. What is the minimum value of f(x)?

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Mathematics: CUET Mock Test - 2 - Question 12

A particle is moving in a straight line and its distance x from a fixed point on the line at any time t seconds is given by, x = t^{4}/12 – 2t^{3}/3 + 3t^{2}/2 + t + 15. At what time is the velocity minimum?

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Mathematics: CUET Mock Test - 2 - Question 13

Given, f(x) = x^{3} – 12x^{2} + 45x + 8. At which point does f(x) has its maximum?

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Mathematics: CUET Mock Test - 2 - Question 14

Given, f(x) = x^{3} – 12x^{2} + 45x + 8. At which point does f(x) has its minimum?

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Mathematics: CUET Mock Test - 2 - Question 15

At which point does f(x) = |x – 1| has itslocal minimum?

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Mathematics: CUET Mock Test - 2 - Question 16

A particle is moving in a straight line and its distance x from a fixed point on the line at any time t seconds is given by, x = t^{4}/12 – 2t^{3}/3 + 3t^{2}/2 + t + 15. What is the minimum velocity?

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Mathematics: CUET Mock Test - 2 - Question 17

What will be the equation of the normal to the parabola y^{2} = 5x that makes an angle 45° with the x axis?

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Mathematics: CUET Mock Test - 2 - Question 18

What will be the equation of the normal to the parabola y^{2} = 3x which is perpendicular to the line y = 2x + 4?

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Mathematics: CUET Mock Test - 2 - Question 19

What will be the length of a tangent from the point (7, 2) to the circle 2x^{2} + 2y^{2} + 5 x + y = 15?

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Mathematics: CUET Mock Test - 2 - Question 20

What will be the equation of the circle which touches the line x + 2y + 5 = 0 and passes through the point of intersection of the circle x^{2} + y^{2} = 1 and x^{2} + y2 + 2x + 4y + 1 = 0?

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Mathematics: CUET Mock Test - 2 - Question 21

If the curves x2/a + y2/b = 1 and x2/c + y2/d = 1 intersect at right angles, then which one is the correct relation?

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Mathematics: CUET Mock Test - 2 - Question 22

What will be the co-ordinates of the foot of the normal to the parabola y^{2} = 5x that makes an angle 45° with the x axis?

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Mathematics: CUET Mock Test - 2 - Question 23

What will be the co-ordinates of the foot of the normal to the parabola y^{2} = 3x which is perpendicular to the line y = 2x + 4?

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Mathematics: CUET Mock Test - 2 - Question 24

If the normal to the ellipse x^{2} + 3y^{2} = 12 at the point be inclined at 60° to the major axis, then at what angle does the line joining the curve to the point is inclined to the same axis?

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Mathematics: CUET Mock Test - 2 - Question 25

What will be the value of angle between the curves x^{2} - y2 = 2a^{2} and xv + y^{2} = 4a^{2}?

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Mathematics: CUET Mock Test - 2 - Question 27

(a_{1}, a_{2}) ∈R implies that (a_{2}, a_{1}) ∈ R, for all a_{1}, a_{2}∈A. This condition is for which of the following relations?

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Mathematics: CUET Mock Test - 2 - Question 28

Bernoulli trials are also called as _____ or _____ questions.

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