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If the maximum value of y = a cos x  1/3 cos 3x occurs when x = π/6, then the value of a is
The area contained between the curve xy = a^{2} , the vertical line x = a, x = 4a (a > 0) and x axis is
If z_{1} and z_{2} are two nonzero complex numbers such that  z_{1} + z_{2}  =  z_{1}  +  z_{2}  , then Arg z_{1} − Arg z_{2} is
The solution of the equation cosylog(secx+tanx)dx=cosxlog(secy+tany)dy is
The differential equation of family of lines which passes (1,1) is
R is the set of real numbers and f : R → R and g : R are defined by f(x) = 3x^{2} + 2 and g(x) = 3x  1 for all x ∈ R. Then
For "or" to be true, either (or both) of the conditions must be true.
The only value that makes either of the conditions true is 1.
If A and B are two matrices such that AB=B and BA=A, then A^{2+}B^{2}=
If A and B are the matrices of same order such that AB = A and BA = B, then A and B are
How many words can be formed from the letters of the word COMMITTEE?
The probability that a teacher will give an unannounced test during any class meeting is 1/5. If a student is absent twice, then the probability that the student will miss at least one test is
Two dice are thrown, the probability that the sum of the points on two dice will be 7 is
A sum of money is rounded off to the nearest rupee. The probability that round off error is at least ten paise is
The mean weight of a group of 10 items is 28 and that of another group of n items is 35. The mean of combined group of 10 + n items is found to be 30. The value of n is
If one root of the equation x^{2}+px+12=0 is 4, where as the roots of x^{2}+px+q=0 are equal, then the value of q is
If the ratio of roots of x^{2}+bx+c=0 and x^{2}+qx+r=0 are equal, then
If cos α, cos β, cos γ are the d.c. of a line, then value of sinα^{2}+sin^{2}β+sin^{2}γ is
The radical centre of the three circles described on the three sides of a triangle as diameter is
The lines 2x  3y = 5 and 3x  4y = 7 are diameters of a circle having area as 154 sq.units. Then the equation of the cirlce is
The unit vector perpendicular to the vector 4i3j+k in XYplane is
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