1 Crore+ students have signed up on EduRev. Have you? Download the App 
The area enclosed between the ellipse x^{2} + 9y^{2} = 9 and the straight line x + 3y = 3, in the first quadrant is
The coefficient of x^{9} in the expansion of ((x^{2}/2)  (2/x))^{9} is
The differential equation of the family of lines through the origin is
The circles x^{2} + y^{2}  12x 12y = 0 and x^{2} + y^{2} + 6x + 6y = 0
Length of tangent drawn from (5,1) to the circle x^{2 }+ y^{2 }+ 6x  4y  3 = 0 is
The solution of differential equation (dy/dx) = [(x(2logx + 1)) / (siny + ycosy)] is
In an Argand plane the inequality π/4 < arg (z) < π/3 represent the region bounded by
The product of the perpendicular, drawn from any point on a hyperbola to its asymptotes is
From the top of the house 15 metres high the angle of depression of a point which is at a distance 15 m from the base of the house is
The parabolas y^{2} = 4x and x^{2} = 4y divide the square region bounded by the lines x = 4, y = 4 and the coordinate axes. If S₁, S₂, S₃ are respectively the areas of these parts numbered from top to bottom; then S₁ : S₂ : S₃ is
The solution of the differential equation cos x sin y dx + sin x cos y dy = 0 is
A and B are square matrices of order n x n, then (A  B)^{2} is equal to
If α + i β = tan^{⁻1} z, z = x + yi and α is constant, then locus of \'z\' is
If equation λx^{2 }+ 2y^{2 } 5xy + 5x  7y + 3 = 0, represents two straight lines, the value of λ is
The locus of the point of intersection of two normals to the parabola x^{2}=8y, which are at right angles to each other,is
The equation of the parabola with its vertex at (1,1) and focus at (3,1) is
Out of 6 boys and 4 girls a group of 7 is to be formed. In how many ways can this be done if the group is to have a majority of boys?
How many even numbers can be formed by using all the digits 2, 3, 4, 5, 6?
A committee of five is to be chosen from a group of 9 people. The probability that a certain married couple will either serve together or not at all is
A sixfaced dice is so biased that it is twice as likely to show an even number as an odd number when thrown. It is thrown twice. The probability that the sum of two numbers thrown is even is
The sum to infinity of (1/7) + (2/7^{2}) + (1/7^{3}) + (2/7^{4}) + ... is
If a, b are the roots of x^{2} + x + 1 = 0 then a^{2} + b^{2} =
The third term of a G.P. is 3. The product of its first five terms is
Suppose that g (x) = 1 + √x and f (g(x)) = 3 + 2 √x + x, then f (x) is
If a line passes through points (4,3) and (2,λ) and perpendicular to y=2x+3, then λ=
The slope of the tangent of the curve at the point where x = 1 is
The ratio in which the line joining the points (a,b,c) and (a,c,b) is divided by the xyplane is
The centre of sphere passing through four points (0, 0, 0), (0, 2, 0), (1, 0, 0) and (0, 0, 4) is
The graph of y = log_{a}x is reflection of the graph of y = a^{x} in the line
The number of roots of the equation 2sin^{2}θ + 3sinθ + 1 = 0 in 0,2π is
If A+B+C=180^{o}, then [(tanA+tanB+tanC)/(tanA tanB tanC)]=
The points with position vectors 10î + 3ĵ, 12î  5ĵ and aî + 11ĵ are collinear if a =
2 videos16 docs143 tests

BITSAT Maths Test  5 Test  45 ques 