TS Polycet (Polytechnic) 2020 Previous Question Paper with Answers And Model Papers With Complete Analysis
TS Polycet (Polytechnic) Previous Year Question Papers And Model Papers:
While preparing for TS Polycet (Polytechnic), candidates must also refer to the previous year question papers of the same. Scoring well in TS Polycet (Polytechnic) and understanding weaknesses and strengths in the respective sections.

TS Polycet (Polytechnic) Previous Year Question Papers can be found on this page in PDF format. Students taking the exam to get into some of the best Polytechnic colleges/institutes in the state of Andhra Pradesh may practice these papers to get a clear idea of the structure of the exam, marking scheme, important topics, etc.

Q) 10^{th} term of A.P.: 13, 8, 3, -2,â€¦â€¦â€¦â€¦â€¦ is ___________
A) -32
B) -23
C) 30
D) -30

View Answer

A) -32
Explanation: 13, 8, 3,-2â€¦â€¦.. A.P.
Here a = 13, d = 8 â€” 13 = â€”5
N^{th} term a_{n} = a + (n â€“ 1) d
âˆ´ 10^{th} term a_{10} = 13 + (10 â€“ 1) (-5)
= 13 + 9 (-5)
= 13-45 = -32

Q) If the slope of the line through (2, -7) and (x, 5) is 3, then x =__________
A) 4
B) 5
C) 6
D) 7

View Answer

C) 6
Explanation: Let A (2, -7), B (x, 5)
Slope of the line passing through
A (x_{1},y_{1}), B (x_{2},y_{2}) is
AB=
Given slope m = 3
3 =
3 = 12/x-2
=> 3x-6 = 12
=> 3x = 18
=> x = 6

Q) The centroid of the triangle whose vertices are (3, -5), (-7, 4), (10, -2) is ____________
A) (1, 1)
B) (1,-2)
C) (-2,1)
D) (2,-1)

View Answer

D) (2,-1)
Explanation: The centroid of the Ale formed by the points A (x_{1},y_{1}), B (x_{2},y_{2}), C (x_{3},y_{3}) is
G = ()
G = ()
G = ()
= (2,-1)

Q) If the roots of 2 x^{2}+ kx + 3 = 0 are real and equal, then k =
A) Â±6âˆš2
B) Â±4
C) Â±2âˆš6
D) Â±5

View Answer

C) Â±2âˆš6
Explanation: Given quadratic equation is
2 x^{2}+ kx + 3 = 0
Comparing with
a x^{2} + bx + c = 0
a = 2, b = k, c = 3
Roots are real and equal, then
b^{2} â€“ 4ac = 0
=> (k)^{2} â€“ 4(2)(3) = 0
=> k^{2} â€“ 24 = 0
k^{2} = 24
=> k = Â± âˆš24 = Â±2 âˆš6

Q) Product of the roots of âˆš3 x^{2} â€“ 2x -âˆš3 =0 is
A) 1
B) -1
C) 2/âˆš3
D) -2/âˆš3

View Answer

B) -1
Explanation: Given quadratic equation is
âˆš3 x^{2}-2x-âˆš3=0
Comparing with a x^{2} + bx + c = 0
a = âˆš3, b = â€”2, c = â€” âˆš3
Product of the roots = c/a
= -âˆš3/âˆš3
= -1

Q) 4, 7, 10,â€¦â€¦â€¦â€¦.. are in A.P., then stun of 15 terms is _________
A) 385
B) 475
C) 375
D) 325

View Answer

C) 375
Explanation: 4, 7, 10â€¦â€¦â€¦.A.P.
Here a = 4, d = 7 -4 = 3, n = 15
S_{n} = n/2 [2a + (n-1)d]
âˆ´ S_{15} = 15/2 [2(4) + (15- 1) 3]
= 15/2 [8 + 14 x 3]
= 15/2 [8 + 42]
= 15/2 x 50
= 15 x 25 = 375

Q) The point (2,-3) divides the line segment joining the points (-1, 3), (4; -7) in the ratio_______
A) 3 : 2
B) 2 : 3
C) 8 : 1
D) 1 : 4

View Answer

A) 3 : 2
Explanation: The ratio in which (x, y) divides the line segment joining (x_{1},y_{1}), (x_{2},y_{2}) is
X_{1} â€“ X : X -X_{2}
(x, y) = (2,-3), (x_{1},y_{1}) = (-1, 3), (x_{2},y_{2}) = (4, -7)
= -1 â€“ 2 : 2 â€“ 4
= -3 : -2 = 3 : 2

Q) If (8, 1), (k, â€”4), (2, -5) are collinear, then k= __________
A) 4
B) 3
C) 2
D) 1