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What is the area under the curve y = x +  x  1 between x = 0 and x = 1 ?
The greatest term in the expansion of (3 + 2x)^{9}, when x = 1, is
The coordinates of the pole of the line lx+my+n=0 with respect to the circle x^{2}+y^{2}=1 are
If the line 2x  y + k = 0 is a diameter of the circle x^{2} + y^{2} + 6x 6y + 5 =0, then k is equal to
The differential equation of the family of lines passing through the origin is
Which of the following is a solution of the differential equation
Value of 1 + log x + (log x)^{2}/2! + (log x)^{3}/3! + ..... ∞ is
The angle of elevation of a cloud from a point h mt above the surface of a lake is θ and the angle of depression of its reflection in the lake is φ . The height of the cloud is
The eccentricity of the conjugate hyperbola of the hyperbola x^{2}  3y^{2} = 1 is
Which of the following functions is a solution of the differential equation (dy/dx)^{2}  x (dy/dx) + y = 0?
The solution of the differential equation (dy/dx) = (y/x) + (φ (y/x)/φ' (y/x)) is
If A, B are two square matrices such that AB = A and BA = B, then
For a square matrix A, it is given that AA' = I, then A is a
The real value of α for which the expression 1i sin α/1+2 i sin α is purely real is
The equation of the normal to the curve x^{2} = 4y at (1, 2) is
Two finite sets have m and n elements, the total number of subsets of the first set is 56 more than the total number of subsets of the second. The value of m and n are respectively
In how many ways can the letters of the word ARRANGE be arranged so that R's are never together?
A and B are events such that P(A ∪ B) = 3/4, P(A ∩ B) = 1/4, P(A̅)= 2/3, then P(A̅ ∩ B) is
The probability that a number selected at random from the set of numbers {1,2,3,....,100} is a cube is
The perimeter of a triangle is 16cm. One of the sides is of length 6cm. If the area of the triangle is 12sq.cm, then the triangle is
If the sum of first n terms of an A.P. be 3n^{2}  n and its common difference is 6, then its first term is
In a town of 10,000 families it was found that 40% family buy newspaper A, 20% buy newspaper B, and 10% families buy newspaper C, 5% families buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all the three newspapers, then number of families which buy A only is
If f : N x N → N is such that f (m,n) = m + n where N is the set of natural numbers, then which of the following is true?
The ortho centre of triangle whose vertices are (0,0), (3,0) and (0,4) is
The angle between the curves y^{2}=x at x^{2}=y at (1,1) is
The acute angle between the planes 2xy+z=6 and x+y+2z=3 is
If 3i+4j and 5i+7j represent the sides of a triangle, then its area is
2 videos14 docs143 tests

2 videos14 docs143 tests
