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To expand (1+2x)⁻^{1}/^{2} as an infinite series, the range of x should be
The sum of the coefficients in the expansion of (1+x3x^{2})^{3148} is
The coefficient of x^{4} in the expansion of (1+x+x^{2}+x^{3})^{11} is
The value of k for which the circles x^{2} + y^{2} 3x + ky  5 = 0 and 4x^{2} + 4y^{2}  12x  y  9 = 0 becomes concentric is
The solution of differential equation (dy/dx)=x^{2}+sin3x is
The order and degree of the differential equation d^{2}y/dx^{2} + (dy/dx)^{1}/^{3} + x^{1}=0 are respectively
The locus of the point of intersection of the perpendicular tangents to the ellipse is
The equation of the conic with focus at (1, 1), directrix along x  y + 1 = 0 and with eccentricity √2 is
Let f be a differentiable function such that,
f ′(x) If f(x) is increasing for all values of x then
All letters of the word EAMCET can be written in all possible ways. In how many ways can the letters of the word EAMCET be arranged so that two vowels are never together.
The probability of two events A and B are 0.25 and 0.40 respectively. The probability that both A and B occur is 0.15 . The probability that neither A nor B occurs is
The probability of getting a number between 1 and 100 which is divisible by one and itself only is
If a = 4, b = 3, angle A = 60º, then c is the root of the equation
If to form a ΔABC it is given that a=5, b=7, sinA= , then possible triangles are
The maximum value of (xp)^{2}+(xq)^{2}+(xr)^{2} will be at x is equal to
If the product of the roots of the equation ax^{2}+ 6x + α^{2} + 1 = 0 is 2 then α equals
The fourth, seventh and tenth terms of a G.P. are p, q and r respectively, then
If log 2,log (2^{x}  1),log (2^{x} + 3) are in A.P.Then x is equal to
The equation of perpendicular bisector of a line passing through the points (7,4) and (1,2) is
If f : R → R is given by f (x) = x and A = {x ∈ R : x < 0}, then f⁻^{1}(A) equals
If x ∈ (−π , π) such that y = 1 + cosx + cos^{2}x + cos^{3}x + … and 8^{y} = 64, then y =
The number of functions f from the set A = {0, 1, 2} in to the set B = {0, 1, 2, 3, 4, 5, 6, 7} such that f(i) ≤ f(j) for i < j and i, j ∈ A is
Let the tangent to the curve at any point on it cut the axes OX and OY at P and Q respectively. Then OP + OQ equals
In an acute angled triangle ABC, the least value of sec A + sec B + sec C is
Let A = N x N, and let ' ∗ ' be a binary operation on A defined by (a,b) ∗ (c,d) = (ad+bc,bd) for all (a,b), (c,d) ∈ N x N. Then find identity element in A.
ABC is a triangle, the point P is on side BC such that , the point Q is on the line . The ratio in which the line joining the common point R of and the point C divides is:
If the solution set for f (x) < 3 is (0 , ∞) and the solution set for f (x) > − 2 is (−∞ , 5), then the true solution set for (f (x))^{2} ≥ f (x) + 6 , is
Let P(3, 2, 6) be a point in space and Q be a point on the line
Then the value of μ for which the vector is parallel to the plane x  4y+3z = 1 is
If tan (π cos θ) = cot (π sin θ) , then the value(s) of cos is/are
Tangents are drawn to a unit circle with centre at (0, 0) from each point on the line 2x + y = 4, then the locus of midpoints of chord of contact is
There are N boxes, each containing at most r balls. If the number of boxes containing at least i balls is N_{i} for i = 1, 2, ....r, then the total number of balls contained in these N boxes is
Two of the lines represented by x^{3} − 6x^{2}y + 3xy^{2} + dy^{3} = 0 are perpendicular for
Let α ∈ and cos = (sin 54º − cos 72º) , then the value of α must be
Let A(z_{1}), B(z_{2}), C(z_{3}) be the vertices of a triangle in the Argand plane. then which of the following statements is correct?
If M ans N are two events, the pobability that exactly one of them occurs is
The equation of the line which divides the distance between the lines x  y  7 = 0 and x  y + 3 = 0 in the ratio of 3 : 2 can be
The range of values of 'a' such that angle θ between the pair of tangents drawn from (a, 0) to the circle x^{2} + y^{2} = 1 satisfies π/2 < θ < π , lies in
The tangents drawn from (0, 0) to x^{2} + y^{2} + 2fy + 2gx + c = 0 are perpendicular if (where c = g^{2})
If 8 sin θ + 7 cos θ = 8 , then the value of 7 sin θ − 8 cos θ is equal to
3 videos10 docs54 tests

WBJEE Maths Test  8 Test  75 ques 
WBJEE Maths Test  9 Test  75 ques 
WBJEE Maths Test  10 Test  75 ques 
WBJEE Maths Test  11 Test  75 ques 
WBJEE Maths Test  12 Test  75 ques 
3 videos10 docs54 tests

WBJEE Maths Test  8 Test  75 ques 
WBJEE Maths Test  9 Test  75 ques 
WBJEE Maths Test  10 Test  75 ques 
WBJEE Maths Test  11 Test  75 ques 
WBJEE Maths Test  12 Test  75 ques 