Maths-
General
Easy
Question
Suppose, x > 0, y > 0, z > 0 and 
(a, b, c) = 
Statement - 1 : (8, 27, 125) = 0
Statement - 2 : 
= 0
- If both (A) and (R) are true, and (R) is the correct explanation of (A).
- If both (A) and (R) are true but (R) is not the correct explanation of (A).
- If (A) is true but (R) is false.
- If (A) is false but (R) is true.
The correct answer is: If both (A) and (R) are true but (R) is not the correct explanation of (A).
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If 
and 
then y=
If and then y=
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If 
then 
If then
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then 
then
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if 
if
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Assertion: 
is independent of 
Reason: If f() = c, then f() is independent of .
Assertion: is independent of
Reason: If f() = c, then f() is independent of .
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Statement-1 : The function f(x) = |x3| is differentiable at x = 0
Statement-2 : at x = 0, 
(x) = 0
Statement-1 : The function f(x) = |x3| is differentiable at x = 0
Statement-2 : at x = 0, (x) = 0
Maths-General
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Statement-1 : The function y = sin–1 (cos x) is not differentiable at 
is particular at x = 
Statement-2 : 
=
so the function is not differentiable at the points where sin x = 0.
Statement-1 : The function y = sin–1 (cos x) is not differentiable at is particular at x =
Statement-2 : = so the function is not differentiable at the points where sin x = 0.
Maths-General
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Statement-1 : f
is differentiable for all real values of x (n 
2)
Statement-2 : For n 2, Right derivative = Left derivative (for all real values of x)
Statement-1 : f is differentiable for all real values of x (n 2)
Statement-2 : For n 2, Right derivative = Left derivative (for all real values of x)
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Statement-1 : f(x) = cos2x + cos3 
– cos x cos3 Then f‘(x) = 0
Statement-2 : Derivative of constant function is zero
Statement-1 : f(x) = cos2x + cos3 – cos x cos3 Then f‘(x) = 0
Statement-2 : Derivative of constant function is zero
Maths-General
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Let f and g be real valued functions defined on interval (–1, 1) such that 
(x)sin x
Statement-1 : 
[g(x) cot x –g(0) cosec x] =
(0)
Statement-2 : (0) = g (0)
Let f and g be real valued functions defined on interval (–1, 1) such that (x)sin x
Statement-1 : [g(x) cot x –g(0) cosec x] = (0)
Statement-2 : (0) = g (0)
Maths-General
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Statement-1 : If f(x) =
(x 
0) and f(0) = 9 is continuous at x = 0 then k = ± 6.
Statement-2 : For continuous function f(x) = f(0)
Statement-1 : If f(x) = (x 0) and f(0) = 9 is continuous at x = 0 then k = ± 6.
Statement-2 : For continuous function f(x) = f(0)
Maths-General
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Statement-I : Let f(x) = 
, x 
, x
. If f(x) is continuous in , Then f 
= 
.
Statement-II : f(x) is continuous at x = a if
f(x) = f(a)
Statement-I : Let f(x) = , x , x. If f(x) is continuous in , Then f = .
Statement-II : f(x) is continuous at x = a if f(x) = f(a)
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Statement 1 : f(x) = xn sin 
is differentiable for all real values of x (n 2).
Statement 2 : For n 2, Right derivative = left derivative (for all real values of x).
Statement 1 : f(x) = xn sin is differentiable for all real values of x (n 2).
Statement 2 : For n 2, Right derivative = left derivative (for all real values of x).
Maths-General
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If H2O2 is mixed with Fe2+, which reaction is more likely:
If H2O2 is mixed with Fe2+, which reaction is more likely:
Chemistry-General
Chemistry-
For the following cell reaction 
, 
Hence, Ecell is:
For the following cell reaction , Hence, Ecell is:
Chemistry-General
