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

Polycet Mock Test

47) Which of the following are not similar figures?

A) Circles
B) Squares
C) Isosceles triangles
D) Equilateral triangles

View Answer

C) Isosceles triangles

Explanation:Isosceles triangles are not always similar
→ Isosceles triangles

48) If △ODC ∼△OBA and ∠BOC =125◦,then ∠DOC = ?

A) 60°
B) 55°
C) 50°
D) 65°

View Answer

B) 55°

Explanation:△ODC ∼ △OBA, so ∠DOC = ∠BOC = 125° (but in triangle ODC, angle should be < 90°, so it must be the matching corresponding angle). Since ∠BOC = 125°, ∠DOC is corresponding to ∠BOA = 180° – 125° = 55°
→ 55°

49) If $M\left(\frac{p}{3}, 4\right)$ is the midpoint of the line segment joining A(-6, 5) and B(-4, 3), then p = ?

A) -10
B) -8
C) -9
D) -15

View Answer

D) -15

Explanation:Midpoint of A(-6, 5) and B(-4, 3):
Midpoint = $\left( \frac{-6 + (-4)}{2}, \frac{5 + 3}{2} \right) = (-5, 4) \Rightarrow \frac{p}{3} = -5 \Rightarrow p = -15$
→ -15

50) The distance between the points (2, 3) and (4, 1) is

A) 2√2
B) 2
C) √2
D) 2√3

View Answer

A) 2√2

Explanation:Distance = $\sqrt{(4-2)^2 + (1-3)^2} = \sqrt{4 + 4} = \sqrt{8} = 2\sqrt{2}$
→ 2√2

51) The coordinates of the point P(x, y) which divides the line segment joining the points $A(x_1, y_1)$ and $B(x_2, y_2)$ internally in the ratio $m_1 : m_2$ are

A) $\left( \frac{m_1 x_1 + m_2 x_2}{m_1 + m_2}, \frac{m_1 y_1 + m_2 y_2}{m_1 + m_2} \right)$
B) $\left( \frac{m_1 x_2 + m_2 x_1}{m_1 + m_2}, \frac{m_1 y_2 + m_2 y_1}{m_1 + m_2} \right)$
C) $\left( \frac{m_1 x_2 - m_2 x_1}{m_1 + m_2}, \frac{m_1 y_2 - m_2 y_1}{m_1 + m_2} \right)$
D) $\left( \frac{m_1 x_2 - m_2 x_1}{m_1 - m_2}, \frac{m_1 y_2 - m_2 y_1}{m_1 - m_2} \right)$

View Answer

A) $\left( \frac{m_1 x_1 + m_2 x_2}{m_1 + m_2}, \frac{m_1 y_1 + m_2 y_2}{m_1 + m_2} \right)$

Explanation:Internal division formula:
→ $\left( \frac{m_1 x_2 + m_2 x_1}{m_1 + m_2}, \frac{m_1 y_2 + m_2 y_1}{m_1 + m_2} \right)$

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