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

Q). If the system of equation x + 2y – 5 and 3x + ky + 15 = 0 has no solution, then k =
A) -6
B) 6
C) 3/2
D) 2/3

View Answer

B) 6
Explanation: No solution, so
=> k = 6

Q). If the system of equation 2x + 3y = 7 and (a + b) x + (2a – b) y = 21 has infinite number of solutions, then
A) a = 5, b = —1
B) a = 5, b = 1
C) a = — 1, b = 5
D) a = —1, b = —5

View Answer

B) a = 5, b = 1
Explanation: Infinite number of solutions,

= -7/-21


————————–
3a = 15 => a = 15/3 = 5
∴ b = 6-5 = 1

Q). If the system of equation 3x – 2y – 7 = 0 and 6x + ky + 11 = 0 has unique solution, then
A) k = 4
B) k ≠ 4
C) k = —4
D) k ≠ —4

Q). The solution of 99x + 101y = 499 and 101x + 99y = 501 is
A) (-3, -2)
B) (3, -2)
C) (-2, 3)
D) (3, 2)

Q). The-line x = 5y passes through
A) (1, 1)
B) (2, 3)
C) (0,0)
D) (1,5)

Q). Roots of X²+6x + 5 = 0 are:
A) 1, 5
B) -1, 5
C) -1, -5
D) 1, -5

Q). If roots of X² + kx + 3 = 0 are equal, then Value of ‘k’:
A) 2√3
B) -2√3
C) ± 2√3
D) ±3√2

Q). Discriminant of 2X² -6x + 3 = 0 is:
A) 60
B) 12
C) 36
D) 24

Q). x² + 7x + 12 =
A) (x + 3)(x-4)
B) (x + 3)(x + 4)
C) (x-3)(x-1)
D) None

Q). 10^th term of A.P.: 5, 1, -3, -7,………………………
A) -31
B) 31
C) -27
D) -35