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If the pressure and absolute temperatre of 2 litres of CO₂ are doubles, the volume of CO₂ would become
In any right angled triangle hypotenuse is equal to 2√2 times the perpendicular drawn from the opposite vertex on it, then other angles are
Twelve students compete for a race. The number of ways in which first three prizes can be taken is
The value of covariance of two variables x and y is -(148/3) and the variance of x is (272/3) and the variance of y is (131/3). Then the coefficient of correlation is
If in a moderately asymmetrical distribution mode and mean of the data are 6λ and 9λ respectively, then median is
The points (5,2,4),(6,-1,2) and (8,-7,k) are collinear if k is equal to
Given n = 10, ∑x = 4, ∑y = 3, ∑x2 = 8, ∑y2 = 9 and ∑xy = 3, then coefficient of correlation 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 f : R → R defined by f (x) = x3 then f is one one onto
Reason(R) : Function f is strictly decreasing on R.
The number of tangents drawn from the point (-1,2) to x2+y2+2x-4y+4=0 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 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.
The area, in square unit, of the region bounded by the curve x2 = 4y , the line x = 2 and the x-axis is
If y=x2(x-2)2, then the values of x for which y is increasing, are
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" + a2 y = 0 .
Reason(R) : y = sin (ax + b) is a trigonometric function.
If line y=2x is a chord of the circle x2+y2-10x=0, the equation of the circle drawn on the chord assuming it as a diameter is