Mathematics - Class 12 Mock Test 1

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Question 1 of 10

1. The function f:R→R defined by f(x)=5x+9 is invertible.

True

False

Question 1 of 10

Question 2 of 10

2. Find the value of tan^-1⁡(\(\frac{1}{3}\))+tan^-1⁡(\(\frac{1}{5}\))+tan^-1⁡(\frac{1}{7})[/latex]

tan^-1⁡\((\frac{9}{7})\)

tan^-1⁡\((\frac{7}{9})\)

tan^-1⁡1

tan^-1⁡\((\frac{4}{7})\)

Question 2 of 10

Question 3 of 10

3. Let P={10,20,30} and Q={5,10,15,20}. Which one of the following functions is one – one and not onto?

f={(10,5),(10,10),(20,15),(30,20)}

f={(10,5),(10,10),(10,15),(10,20)}

f={(10,5),(20,10),(30,15)}

f={(20,5),(20,10),(30,10)}

Question 3 of 10

Question 4 of 10

4. If \(cos^{-1}⁡x=y\), then which of the following is correct?

-\(\frac{π}{2}≤y≤\frac{π}{2}\)

-\(\frac{π}{2}<y<\frac{π}{2}\)

0 < y < π

0 ≤ y ≤ π

Question 4 of 10

Question 5 of 10

5. Let R be a relation in the set N given by R={(a,b): a+b=5, b>1}. Which of the following will satisfy the given relation?

(2,3) ∈ R

(4,2) ∈ R

(2,1) ∈ R

(5,0) ∈ R

Question 5 of 10

Question 6 of 10

6. Let ‘*’ be a binary operation defined by a*b=3a^b+5. Find 8*3.

1547

1541

1458

1448

Question 6 of 10

Question 7 of 10

7. Which of the following is not a type of matrix?

Diagonal matrix

Symmetric matrix

Minor matrix

Scalar matrix

Question 7 of 10

Question 8 of 10

8. If f:R→R, g(x)=3x²+7 and f(x)=√x, then gοf(x) is equal to _______

3x-8

3x-9

3x-7

3x+7

Question 8 of 10

Question 9 of 10

9. What is the solution of cot⁡(sin^-1⁡x)?

\(\frac{\sqrt{1-x^2}}{x}\)

\(\sqrt{1-x^2}\)

\(\sqrt{1+x^2}\)

Question 9 of 10

Question 10 of 10

10. \(sin^{-1}⁡x\) is same as \((sin⁡x)^{-1}\).

True

False

Question 10 of 10