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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer
Assertion(A) :If a 2 x 2 matrix commutes with every 2 x 2 matrix, then it is a scalar matrix.
Reason(R) :A 2 x 2 scalar matrix commutes with every 2 x 2 matrix.
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer
A committee of n persons is to be formed out of 30 persons.
Assertion(A) : The value of n for which the number of committees is maximum is n = 15
Reason(R) : In the expansion of (1 + x)^{k} , k ∈ N , the middle term has the greatest binomial coefficient.
The general solution of the equation x^{2}(dy/dx)=2 is
The area of the region bounded the curve y = 2x  x^{2} and the line y = x is
If line y=2x is a chord of the circle x^{2}+y^{2}10x=0, the equation of the circle drawn on the chord assuming it as a diameter is
If (cos θ + i sin θ)(cos 2θ + i sin 2θ).....(cos mθ + i + sin mθ) = 1 then the value of θ ,is (m is an integer)
If circles x^{2}+y^{2}+2ax+c=0 and x^{2}+y^{2}+2by+c=0 touch each other, then
If the amplitude of z − 2 − 3i is π/4 , then the locus of z = x + iy is
The negation of the statement ' he is rich and happy' is given by
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer
Assertion(A): The function f(x)=sin x is symmetric about the line x = 0
Reason (R): Every even function is symmetric about yaxis
If N N + denotes the set of all positive integers and if f : N^{N +} → N is defined by f (n) = the sum of positive divisors of n then f (2^{ k} . 3), where k is a positive integer is
In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer
Assertion (A): If n is a positive integer then 3^{2n} + 7 is divisible by 8
Reason (R): G.C.F. of 16 and 88 is 8
If 3, 2, are the eigen values of a nonsingular matrix A and A = 4, then the eigen values of adj A are
In throwing of two dice, the probability of getting a multiple of 4 is
The combined equation to the tangents to the parabola y^{2} = 4ax from an external point A (x_{1}, y_{1}) is
The equation of line passing through intersection point of lines x+5y+7=0 and 3x+2y5=0 and perpendicular to line 7x+2y5=0 is
The number of solutions of the equation tan^{2}x –sec^{6}x + 1 = 0 in [0, 4π] is :
If solution of equation 3cos^{2}θ – 2√3 sin θ cos θ – 3sin^{2}θ = 0 are nπ + π/r and nπ + π/s then r – s is equal to:
If (x_{1} – x_{2})^{2} + (y_{1} – y_{2})^{2} = a^{2} ;
(x_{2} – x_{3})^{2} + (y_{2} – y_{3})^{2} = b^{2} ;
(x_{3} – x_{1})^{2} + (y_{3} – y_{1})^{2} = c^{2} and
= (a + b + c)(b + c – a)(c + a – b)(a + b – c)
Then the value of k is :
The interior angles of a convex polygon form an arithmetic progression with a common difference of 4°. Determine the number of sides of the polygon if its largest interior angle is 172°:
366 docs219 tests

366 docs219 tests
