Maths-
General
Easy
Question
If the following equations x + y – 3 = 0(1 + 
) x + (2 + ) y – 8 = 0x – (1 + ) y + (2 + ) = 0 are consistent then the value of is
- 1
- –1
- 0
- 2
The correct answer is: 1
Related Questions to study
Maths-
If 
are the roots of x3 – 3x + 2 = 0, then the value of the determinant 
is equal to
If are the roots of x3 – 3x + 2 = 0, then the value of the determinant is equal to
Maths-General
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If 
ABC is a scalene triangle, then the value of 
is
If ABC is a scalene triangle, then the value of is
Maths-General
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Consider the system of equations-x – 2y + 3z = –1–x + y – 2z = k x – 3y + 4z = 1
STATEMENT-1: The system of equations has no solution for k 
3
STATEMENT-2: The determinant 
0, for k 3
Consider the system of equations-x – 2y + 3z = –1–x + y – 2z = k x – 3y + 4z = 1
STATEMENT-1: The system of equations has no solution for k 3
STATEMENT-2: The determinant 0, for k 3
Maths-General
Maths-
Suppose, x > 0, y > 0, z > 0 and 
(a, b, c) = 
Statement - 1 : (8, 27, 125) = 0
Statement - 2 : 
= 0
Suppose, x > 0, y > 0, z > 0 and (a, b, c) =
Statement - 1 : (8, 27, 125) = 0
Statement - 2 : = 0
Maths-General
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If 
and 
then y=
If and then y=
Maths-General
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If 
then 
If then
Maths-General
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then 
then
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if 
if
Maths-General
Maths-
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 .
Maths-General
Maths-
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
Maths-
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
Maths-
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)
Maths-General
Maths-
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
Maths-
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
Maths-
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
