AP Polycet (Polytechnic) 2022 Previous Question Paper with Answers And Model Papers With Complete Analysis

Polycet Mock Test

11) If A and B are two sets such that AUB=A∩B, then which of the following is correct?

A) A=Φ
B) B=Φ
C) A=B
D) None of these

View Answer

C) A=B

Explanation:If A ∪ B = A ∩ B, this means every element in A is also in B and vice versa, i.e., A = B.

12) Which of the following is not a polynomial?

A) √3x²-2√3x+5
B) 9x²-4x+√2
C) $\frac32x^3+6x^2-\frac1{\sqrt2}x=8$
D) x+ $\frac3x$

View Answer

D) x+ $\frac3x$

Explanation:A, B, and C are polynomials.D: $x + \frac{3}{x}$ → contains x^-1, which is not allowed in polynomials.
Answer: $x + \frac{3}{x}$

13) The degree of the polynomial (x+1)(x²-x+x⁴-1) is

A) 2
B) 3
C) 4
D) 5

View Answer

D) 5

Explanation:Multiply degrees:
(x + 1): degree 1x⁴ – x² + x – 1: degree 4
→ Total degree = 1 + 4 = 5
Answer:5

14) If the sum of the zeros of the quadratic polynomial kx²+2x+3k is equal to the product of its zeroes, then the value of k is

A) $-\frac23$
B) $\frac23$
C) $-\frac13$
D) $\frac13$

View Answer

A) $-\frac23$

Explanation:Given:
Polynomial: kx² + 2x + 3k Sum of roots = $-\frac{2}{k}$ , Product = $\frac{3k}{k} = 3$
Set: $-\frac{2}{k} = 3 ⇒ k = -\frac{2}{3}$
Answer: $-\frac{2}{3}$

15) Number of zeroes of the polynomial in the graph shown is

A) 0
B) 1
C) 2
D) 3

View Answer

D) 3

Explanation:From the graph: The polynomial crosses the x-axis at 3 points, so it has 3 real zeroes.
Answer:3

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