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Let z₁ and z₂ be nth roots of unity which subtend a right angle at the origin, then n must be of the form :
where [x] denotes the greatest integer less than or equal to x, is continuous at x = 2, then the value of a is equal to
The solution of the equation cosylog(secx+tanx)dx=cosxlog(secy+tany)dy is
(d^{2}y/dx^{2})^{2} + x(dy/dx)^{3} is a differential equation of
For real values of x the minimum value of [(1x+x^{2})/(1+x+x^{2})] is
The solution of sin^{1}(2a/1 + a^{2})  cos^{1} (1  b^{2}/1 + b^{2}) = tan^{1}(2x/1  x^{2}) is :
If ^{2n}C_{3}:^{n}C_{2}=44:3.For which value of r, ^{n}C_{r}=15?
One hundred identical coins, each with probability p, of showing up heads are tossed. If 0 < p < 1 and the probability of heads showing on 50 coins is equal to that of the heads showing in 51 coins, then the value of p is
India plays two matches each with Australia and Pakistan. The probability of India getting points 0,1,2 are 0.45, 0.05, 0.50 . Find the probability of India getting at least 7 points in the series
A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is a six. The probability that it is actually a six is
or 2 sin A cos B = cos A sin B + sin A cos B = sin A + B = sin C .
Consider the following statements:
1. Mode can be computed from histogram
2. Median is not independent of change of scale
3. Variance is independent of change of origin and scale.
Which of these is/are correct?
Covariance (x, y) between x and y if ∑x = 15, ∑y = 40, ∑xy = 110, n = 5 is
If the product of roots of the equation mx^{2}+6x+(2m1)=0 is 1, then the value of m is
If x^{2}+2x+2xy+my3 has two rational factors the value of m is
The direction cosines of the normal to the plane 6x3y2z=1 are
If P be the (2,6,3), then the equation of the plane thro' P at right angles to OP,O being the origin, is
The equation
3(x^{2} + y^{2}) + 5x  7y  2 = 0 is represents
The radius of the circle inscribed in the triangle formed by lines x = 0, y = 0,
4x + 3y  24 = 0 is
The median AD of the triangle ABC is bisected at E, BE meets AC in F, than AF:AC =
If p=i2j+3k and q=3i+j+2k, then a vector r which is a linear combination of p and q and perpendicular to q is
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