Mathematics Test 298

Result

Mathematics Test 298

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Weekly Quiz Competition

Question 1
4 / -1

A
1

B

C

D
2

Solution

For reference, read NCERT section: 10.6.1 Scalar or dot product of two vectors
Question 2
4 / -1

The number of 3 × 3 matrices M with entries from {0,1,2}, such that the sum of the diagonal elements of M^TM is 5, are

A
198

B
126

C
135

D
162

Solution
Question 3
4 / -1

Let M be a set of (2 × 2) non-singular matrices and R be a relation defined on set M such that R = {(A,B);A,B ∈ M;A is inverse of B then R is

A
Reflexive, symmetric but not Transitive

B
Reflexive, Transitive but not symmetric

C
Not reflexive

D
Transitive, symmetric, reflexive

Solution
Question 4
4 / -1

The position vector of a point P which is equidistant from the origin O(0,0,0) and lies on the line joining A(2,4,4) and the z-axis with a direct distance of 6 units from the origin along the positive z-axis is:

A

B

C

D

Solution
Question 5
4 / -1

A
(1,∞)

B
(−∞,1)

C
(−1,1)

D
(0,2)

Solution
Question 6
4 / -1

A
0

B
1

C
-1

D

Solution
Question 7
4 / -1

If a ∈ R, f(x) = − x³− 3x²− 2x + a, then the real values of x satisfying f(x²+1) > f(2x²+ 2x + 3) will be _____

A
(−∞,∞)

B
(0,∞)

C
(−∞,0)

D
ϕ

Solution
Question 8
4 / -1

A
(0,1)

B
(−∞,∞)

C
(−2,2)

D
None of these

Solution

Conclusion: The range is (−∞,∞), which is option B. Since the provided correct answer is “None of these”, the stated correct answer is itself incorrect; the mathematically correct choice is B.
Question 9
4 / -1

A
g′(x)

B
g(0)

C
g(0) + g′(x)

D
0

Solution
Question 10
4 / -1

A
0.875

B
1.802

C
2.23

D
5

Solution