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A particle moves in a straightline 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?
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?
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?
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?
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?
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?
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?
The distance s of a particle moving along a straight line from a fixedpointO 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?
What will be the nature of the equation sin(x + α)/sin(x + β)?
Given, f(x) = x^{3} – 12x^{2} + 45x + 8. What is the maximum value of f(x)?
Given, f(x) = x^{3} – 12x^{2} + 45x + 8. What is the minimum value of f(x)?
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?
Given, f(x) = x^{3} – 12x^{2} + 45x + 8. At which point does f(x) has its maximum?
Given, f(x) = x^{3} – 12x^{2} + 45x + 8. At which point does f(x) has its minimum?
At which point does f(x) = x – 1 has itslocal minimum?
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?
What will be the equation of the normal to the parabola y^{2} = 5x that makes an angle 45° with the x axis?
What will be the equation of the normal to the parabola y^{2} = 3x which is perpendicular to the line y = 2x + 4?
What will be the length of a tangent from the point (7, 2) to the circle 2x^{2} + 2y^{2} + 5 x + y = 15?
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?
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?
What will be the coordinates of the foot of the normal to the parabola y^{2} = 5x that makes an angle 45° with the x axis?
What will be the coordinates of the foot of the normal to the parabola y^{2} = 3x which is perpendicular to the line y = 2x + 4?
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?
What will be the value of angle between the curves x^{2}  y2 = 2a^{2} and xv + y^{2} = 4a^{2}?
(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?
Bernoulli trials are also called as _____ or _____ questions.
P(x; μ) = (e^{μ}) (μ^{x}) / x! is the formula for _____
P [X = x] = ^{n}C_{x} p^{x }q^{nx} is the formula for _____
The term Bernoulli trials is termed after which swiss mathematician?
The Poisson distribution comes under which probability distribution?
What is the formula for the Poisson distribution probability?
What will be the value of x + y + z if cos^{1} x + cos^{1} y + cos^{1} z = 3π?
Method in which the previously calculated probabilities are revised with values of new probability is called ____
Formula for conditional probability P(A  B) is _______
A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is a six. Find the probability that it is actually a six.
8 docs148 tests

8 docs148 tests
