Mathematics - Class 11 Mock Test 4

10%

Question 1 of 10

1. 7²ⁿ + 2^{2n – 2} . 3^{n – 1} is divisible by 50 by principle of mathematical induction.

True

False

Question 1 of 10

Question 2 of 10

2. If P(k) = k² (k + 3) (k² – 1) is true, then what is P(k + 1)?

(k + 1)² (k + 4) (k² – 1)

(k + 1)² (k + 3) (k² – 1)

(k + 1) (k + 4) k (k +2)

(k + 1)² (k + 4) k (k + 2)

Question 2 of 10

Question 3 of 10

3. \(\sqrt{x^2+y^2}\) distance of point representing complex number x+y i from origin.

True

False

Question 3 of 10

Question 4 of 10

4. Find the principal solutions of the equation cot x=1/√3.

2π/3, 5π/3

π/3, 4π/3

π/3, 5π/3

4π/3, 5π/3

Question 4 of 10

Question 5 of 10

5. In z=4+i, what is the real part?

4+i

Question 5 of 10

Question 6 of 10

6. If z₁ = 2+3i and z₂ = 5+2i, then find sum of two complex numbers.

4+8i

3-i

7+5i

7-5i

Question 6 of 10

Question 7 of 10

7. 1+0i is _________________ for complex number z.

multiplicative identity element

additive identity element

additive inverse

multiplicative inverse

Question 7 of 10

Question 8 of 10

8. n³ + 5n is divisible by which of the following?

Question 8 of 10

Question 9 of 10

9. Solve – x² + x – 2 = 0.

\(\frac{-1±\sqrt{7}}{2}\)

\(\frac{1±i\sqrt{7}}{2}\)

\(\frac{-1±i\sqrt{7}}{2}\)

\(\frac{1±\sqrt{7}}{2}\)

Question 9 of 10

Question 10 of 10

10. The expression involving integer ‘n’ which gives all solutions of a trigonometric equation is called the principal solution.

True

False

Question 10 of 10