1 Crore+ students have signed up on EduRev. Have you? Download the App 
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
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) :A relation R on the set of complex number defined by Z_{1} RZ_{2} ⇔ Z_{1} − Z_{2} is real, is an equivalence relation.
Reason(R) :Reflexive and symmetric properties may not imply transitivity.
The are (in square units) of the region bounded by x^{2} = 8 y , x = 4 and xaxis is
The limiting point of the system of coaxial circles x^{2}+y^{2}6x6y+4=0, x^{2}+y^{2}2x4y+3=0 is
The number of tangents drawn from the point (1,2) to x^{2}+y^{2}+2x4y+4=0 is
The maximum value of the function f(x)=[(x)/(4+x+x^{2})] at the interval [1,1] will be
sin⁻^{1} (cos(sin⁻^{1} x) + cos⁻^{1} (sin(cos⁻^{1} x) is equal to
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): y = sin (ax + b) is a general solution of y" + a^2y = 0 .
Reason(R) : y = sin (ax + b) is a trigonometric function.
The inverse of the converse of a conditional statement is the _______________.
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 domain of the function
Reason (R): The domain of the function
If A is a square matrix such that A^{2} = I, then A⁻^{1} is equal to
The equation of the directrix to the parabola y^{2} − 2x − 6y − 5 = 0 is
Two finite sets have m and n elements, the total number of subsets of the first set is 56 more than the total number of subsets of the second. The value of m and n are respectively
A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is
If in a moderately asymmetrical distribution mode and mean of the data are 6λ and 9λ respectively, then median is
The sides of a parallelogram are lx + ny + n = 0, lx + my + n' = 0, mx + ly + n = 0, mx + ly + n' = 0, the angle between its diagonals is
Let f : (–3, 3) → R be a differentiable function with f(0) = – 2 and f'(0) = – 1 and g(x) = (f(3f(x) + 6))^{3 }then g'(0) is equal to.
At present a firm is manufacturing 2000 items. It is estimated that the rate of change of production P w.r.t. additional number of workers x is given by dP/dx = 100  12√x. If the firm employs 25 more workers, then the new level of production of items is:
It is given that events A and B of an experiment are such that P(A / B) = 1 / 4 and P (B / A) = 1/12 and chance of occurence of an event "only A" is 1/12 (where P(x) denote the probability of occurence of event 'x'). Value of 22P(B) equals
If the function ƒ(x) = 2 + x^{2} – e^{–x} and g(x) = ƒ^{–1}(x), then the value of equals
357 docs148 tests

357 docs148 tests
