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The equilibrium constant for the following reaction will be 3 A + 2 B → C
The heats of dissociation (k.cals/mole) of methane and ethane are 360 and 620 respectively. From these, C - C bond energy (k.cals/mole) in ethane can be evaluated as
2R ― OH + 2Na → 2RONa + H₂. In the above reaction the reactivity of different alcohols is
If a mixture containing 3 moles of hydrogen and 1 mole of nitrogen is converted completely into ammonia, the ratio of volumes of reactants and products at the same temperature and pressure would be
A compound possesses 8% sulphur by mass. The least molecular mass is
An unbiased coin is tossed to get 2 points for turning up a head and one point for the tail. If three unbiased coins are tossed simultaneously, then the probability of getting a total of odd number of points 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): The function f(x)=sin x is symmetric about the line x = 0
Reason (R): Every even function is symmetric about y-axis
if the pair of lines ax2 + 2hxy + by2 + 2gx + 2fy + c = 0
A tangent is drawn at the point (3√3 cos θ, sin θ) 0 < θ < (π/2) of an ellipse (x2/27) + (y2/1) = 1 the least value of the sum of the intercepts on the co-ordinate axes by this tangent is attained at θ =
If the equations x2+ ba + a = 0 and x2 + ax + b = 0 have a common root, then a + b =
What is the chance that a leap year should have 53 sundays?
In the following question, a Statement-1 is given followed by a corresponding Statement-2 just below it. Read the statements carefully and mark the correct answer-
Let a, b, c, p, q be real numbers. Suppose α,β are the roots of the equation x2 + 2px + q = 0 and a, 1/β are the roots of the equation ax2 + 2bx + c = 0, where β2 ∉ {-1, 0, 1}
Statement-1:
(p2-q)(b2-ac)≥0
Statement-2:
b≠pa or c≠qa
The area bounded by the curve y = x2 - 4x, x-axis and line x = 2 is
If the domain of function f(x) = x2 - 6x + 7 is (-∞, ∞), then the range of function is :
If 3X+2Y=I and 2X-Y=0, where I and 0 are unit and null matrices of order 3, then
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