TS Polycet (Polytechnic) 2019 Previous Question Paper with Answers And Model Papers With Complete Analysis

Q). Which term of the A.P.: 21,18, 15,……………is -30?
A) 16
B) 18
C) 17
D) 19

View Answer

B) 18
Explanation: a = 21, d =-3, a _n = a + (n – 1)d =-30
=> 21 + (n – 1)(-3)=-30
=> n-1 = = 17
∴ n = 18

Q). In A.P., sum of n terms, S_n =
A)
B)
C)
D) None

View Answer

A)
Explanation: S_n = [2a + (n-1)d]

Q). If a, b, c are in G.P., then a/b =
A) b/c
B) c/b
C) 1/ab
D) b/a

Q). Distance between the points (-2,3), (2, -3)
A) √52
B) 0
C) 52
D) 20

View Answer

A) √52
Explanation: = √52

Q). If (P, 2), (-3, 4) and (7, -1) are collinear, then P =
A) -1
B) 0
C) -2
D) 1

View Answer

D) 1
Explanation: A (P, 2), B (-3, 4), C (7, -1)
Slope of AB = Slope of BC

=
=
4 = 3 + P => P = 1

Q). Centroid of a triangle divides each median in the ratio:
A) 2 : 1
B) 1 : 2
C) 1 : 3
D) 3 : 1

Q). Slope of the line joining the points (4, -8), (5,-2)
A) 1/6
B) -6
C) 6
D) -1/6

View Answer

C) 6
Explanation: = 6

Q). If two triangles are similar such that ratio of their areas is 25 : 361, then find the, ratio of their corresponding medians.
A) 10 : 20
B) 5 : 19
C) 20 : 19
D) 18 : 5

Q). The angles of a triangle are in the ratio 1:2: 3, then the least angle is
A) 15°
B) 20°
C) 25°
D) 30°

Q). The angles of a triangle are 3x + 12°, 5x – 6° and x + 3°, then measure of largest angle is
A) 69°
B) 59°
C) 79°
D) 89°