WBJEE Maths Test - 15 - JEE MCQ
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30 Questions MCQ Test - WBJEE Maths Test - 15
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WBJEE Maths Test - 15 - Question 1
The sum of the co-efficients in the expansion of (x+y)n is 4096. The greatest co-efficients in the expansion is
WBJEE Maths Test - 15 - Question 2
The term independent of x in the expansion of [(x1/3/2)+(x-1/5)]8 is
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WBJEE Maths Test - 15 - Question 3
The 10th term of the expansion of (x-1)11 (in decreasing powers of x) is
WBJEE Maths Test - 15 - Question 4
The equations to the circles which touch the lines 3x - 4y + 1 = 0, 4x +3y -7 = 0 and pass through (2,3) are
WBJEE Maths Test - 15 - Question 5
If the line 2x - y + k = 0 is a diameter of the circle x2 + y2 + 6x -6y + 5 =0, then k is equal to
WBJEE Maths Test - 15 - Question 9
The area bounded by the parabola y2=4ax and the straight line y=2ax is
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WBJEE Maths Test - 15 - Question 11
The area bounded by the curve y = x2 - 4x, x-axis and line x = 2 is
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WBJEE Maths Test - 15 - Question 15
The differential equation which represents the family of plane curves y=exp. (cx) is
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WBJEE Maths Test - 15 - Question 17
If y=x2(x-2)2, then the values of x for which y is increasing, are
WBJEE Maths Test - 15 - Question 18
The value of k if 1 , 2 , k , − 1 are conjugate points with respect to the ellipse 2 x 2 + 3 y 2 = 6 is
WBJEE Maths Test - 15 - Question 19
The number of normals to the hyperbola x 2 ∕ a 2 − y 2 ∕ b 2 = 1 from an external point is
WBJEE Maths Test - 15 - Question 20
The locus of the mid-points of a focal chord of the ellipse (x2/a2) + (y2/b2) = 1 is
WBJEE Maths Test - 15 - Question 21
The eccentricity of the hyperbola 9x2 - 16y2 + 72x - 32y - 16 = 0 is
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WBJEE Maths Test - 15 - Question 23
If 3 sin⁻1(2x/1 + x2) - 4 cos⁻1(1 - x2/1 + x2) + 2 tan⁻1(2x/1 - x2) = π/3, then x is equal to
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WBJEE Maths Test - 15 - Question 26
The number of values of x where 
attains its maximum value is
WBJEE Maths Test - 15 - Question 27
The parabola (y + 1 )2 = a (x − 2) passes through the point (1, − 2) . The equation of its directrix is
WBJEE Maths Test - 15 - Question 28
The complex number sinx + i cos 2 x and cos x - i sin 2 x are conjugate to each other, for
WBJEE Maths Test - 15 - Question 30
How many words can be formed by taking letters 4 at a time out of letters of the word MATHEMATICS?
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