AP Polycet (Polytechnic) 2025 Previous Question Paper with Answers And Model Papers With Complete Analysis

32) If the graph of y = p(x) does not intersect the X-axis at all, then the zeroes of p(x) are:

A) are equal
B) are unequal
C) don’t exist
D) All of these

View Answer
C) don’t exist

Explanation:If the graph of y = p(x) does not intersect the X-axis
→ don’t exist

33) The number of zeroes of a polynomial y = p(x) as shown below is:
AP POLYCET 2025

A) ‘0’
B) 1
C) 2
D) 3

View Answer
C) 2

Explanation:The number of zeroes of the polynomial from the graph is
→ 2

34) A pair of linear equations a_1 x + b_1 y + c_1 = 0 and a_2 x + b_2 y + c_2 = 0 is such that \frac{a_1}{a_2} ≠ \frac{b_1}{b_2}, then they are:

A) consistent
B) inconsistent
C) dependent and consistent
D) None of these

View Answer
A) consistent

Explanation:If \frac{a_1}{a_2} \ne \frac{b_1}{b_2}, the lines intersect
→ consistent

35) The lines 2x + 3y – 9 = 0 and 4x + 6y – 18 = 0 are:

A) intersecting lines
B) coinciding lines
C) parallel lines
D) All of these

View Answer
B) coinciding lines

Explanation:4x + 6y - 18 = 2(2x + 3y - 9), so they are same line
→ coinciding lines

36) If x – 4y – 14 = 0 and 5x – y – 13 = 0 will have:

A) unique solution
B) no solution
C) infinite number of solutions
D) None of these

View Answer
A) unique solution

Explanation:Lines intersect → unique solution
→ unique solution

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