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Questions asked by maitreyeeroyster
Questions
141
questions
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answers selected
Prove the following 9/8 - 9/4 sin-1 (1/3) = 9/4 sin-1 (2/3)
asked
Apr 22, 2016
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answers
if [ x x 1 x ] = [ 3 4 12]write the positive value of x.
asked
Apr 22, 2016
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answers
Write the position vector of the mid-point of the vector joining the points P(2,3,4) and Q(4,1,-2).
asked
Apr 22, 2016
1
answer
Let R = {(a, a3) : a is a prime number less than 5} be a relation. Find the range of R.
asked
Apr 22, 2016
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answers
If A is a 3 x 3 matrix, | A | 0 and | 3A | = k | A |, then write the value of k.
asked
Apr 22, 2016
1
answer
If cos y = x cos (a + y), where cos a 1, prove that dy/dx + cos2(a+y)/ sin a
asked
Apr 21, 2016
1
answer
Solve the differential equation x log x dy/dx + y = 2/xlog x
asked
Apr 21, 2016
1
answer
The sum of the perimeters of a circle and a square is k, where k is some constant. Prove that the sum of their areas is least when the side of the square is equal to the diameter of the circle.
asked
Apr 21, 2016
1
answer
Find the area of the smaller region bounded by the ellipse x2/9 + y2/4 =1 and the line x/3 + y/2 = 1
asked
Apr 21, 2016
1
answer
An insurance company insured 2000 scooter drivers, 4000 car drivers and 6000 truck drivers. The probabilities of an accident for them are 0.01, 0.03 and 0.15 respectively. One of the insured persons meets with an accident. What is the probability that he is a scooter driver or a car driver ?
asked
Apr 21, 2016
1
answer
Two schools P and Q want to award their selected students on the values of Tolerance, Kindness and Leadership. The school P wants to award < x each, < y each and < z each for the three respective values to 3, 2 and 1 students respectively with a total award money of < 2,200. School Q wants to spend < 3,100 to award its 4, 1 and 3 students on the respective values (by giving the same award money to the three values as school P). If the total amount of award for one prize on each value is < 1,200, using matrices, find the award money for each value. Apart from these three values, suggest one more value which should be considered for award.
asked
Apr 21, 2016
1
answer
Find the distance of the point P(–1, –5, –10) from the point of intersection of the line joining the points A(2, –1, 2) and B(5, 3, 4) with the plane x – y + z = 5.
asked
Apr 21, 2016
1
answer
Find the equation of the plane that contains the point (1, – 1, 2) and is perpendicular to both the planes 2x + 3y – 2z = 5 and x + 2y – 3z = 8. Hence find the distance of point P(–2, 5, 5) from the plane obtained above.
asked
Apr 21, 2016
1
answer
A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding/cutting machine and a sprayer. It takes 2 hours on the grinding/cutting machine and 3 hours on the sprayer to manufacture a pedestal lamp. It takes 1 hour on the grinding/cutting machine and 2 hours on the sprayer to manufacture a shade. On any day, the sprayer is available for at the most 20 hours and the grinding/cutting machine for at the most 12 hours. The profit from the sale of a lamp is < 25 and that from a shade is < 15. Assuming that the manufacturer can sell all the lamps and shades that he produces, how should he schedule his daily production in order to maximise his profit. Formulate an LPP and solve it graphically.
asked
Apr 20, 2016
1
answer
If x = a cos + b sin and y = a sin – b cos , show that
asked
Apr 20, 2016
1
answer
Find the intervals in which the function f(x) = 3/2 x4 – 4x3 – 45x2 + 51 i. Strictly increasing ii. Strictly decreasing
asked
Apr 20, 2016
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answers
Find the intervals in which the function f(x) is i. Strictly increasing ii. Strictly decreasing
asked
Apr 20, 2016
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answers
Prove that : cot– 1 7 + cot– 1 8 + cot– 1 18 = cot– 1 3
asked
Apr 20, 2016
1
answer
Solve for x: cos (tan– 1 x) = sin cot-1 ¾
asked
Apr 20, 2016
1
answer
Solve the differential equation (x2 – yx2) dy + (y2 + x2y2) dx = 0, given that y = 1, when x = 1
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Apr 20, 2016
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answers
Find the intervals in which the function f(x)
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Apr 20, 2016
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answers
Find a unit vector perpendicular to both of the vectors
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Apr 20, 2016
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answers
Find the approximate value of f(3.02), upto 2 places of decimal, where f(x) = 3x2 + 5x + 3
asked
Apr 20, 2016
1
answer
Find the points on the curve y = x3 at which the slope of the tangent is equal to the y-coordinate of the point.
asked
Apr 19, 2016
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answers
Find the points on the curve y = x3 at which the slope of the tangent is equal to the y-coordinate of the point.
asked
Apr 19, 2016
1
answer
Find the intervals in which the function f given by f(x) = sin x + cos x, 0 x 2 is strictly increasing or strictly decreasing.
asked
Apr 19, 2016
1
answer
Solve the following differential equation: dy/dx + y cot x = 4x cosec x, given that y = 0 when x = /2
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Apr 19, 2016
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answers
Solve the following differential equation: [4] dy/dx + y cot x = 4x cosec x, given that y = 0 when x = /2
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Apr 19, 2016
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answers
dy/dx + y cot x = 4x cosec x, given that y = 0 when x = /2
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Apr 19, 2016
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answers
Solve the following differential equation: , given that y = 0 when
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Apr 19, 2016
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answers
If vectors are such that is perpendicular to , then find the value of
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Apr 19, 2016
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answers
If , then what can be concluded about the vector ?
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Apr 19, 2016
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answers
If , write the positive value of x.
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Apr 19, 2016
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answers
Write the order of the product matrix:
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Apr 19, 2016
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answers
Write the values of x – y + z from the following equation:
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Apr 19, 2016
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answers
If f : R R is defined by f(x) = 3x + 2, define f[f(x)].
asked
Apr 19, 2016
1
answer
Find the points on the curve y = x3 at which the slope of the tangent is equal to the y-coordinate of the point.
asked
Apr 16, 2016
1
answer
The coordiates of the foci of an ellipse are (0, 4) and the equation of its directrices are y = 9. Find the length of the latus rectum of the ellipse.
asked
Apr 16, 2016
1
answer
An unbiased coin is tossed three times in succession. What is the probability of obtaining Tail’ at once?
asked
Apr 16, 2016
1
answer
If the rate of change of volume of a sphei-e with respect to its radius is k times the surface area of the sphere, then the value of k is
asked
Apr 16, 2016
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answers
Find the intervals in which the function f given by f(x) = sin x + cos x, 0 x 2 is strictly increasing or strictly decreasing.
asked
Apr 16, 2016
1
answer
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