Linear Equation with two variables

Q11. If 3 chairs and 1 table cost Rs. 900 and 5 chairs and 3 tables cost Rs. 2400 then the cost of 2 chairs and 2 tables is
(a) Rs. 105
(b) Rs. 115
(c) Rs. 125
(d) Rs. 150

Q12. For which value of K, the system of equations kx - 10y - 3 = 0 and 3x - 5y - 7 = 0 has no solution ?
(a) 5
(b) 6
(c) 8
(d) 10

Q13. Solve x - 4 = 5/x
(a) 5, -1
(b) 6, -2
(c) 7, -3
(d) 10, -7

Q14. The roots of the equation 2x2 - 11x + 15 = 0 are
(a) 2, 1/3
(b) 2, 1/5
(c) 3, 3/7
(d) 3, 5/2

Q15. If x2 - 3x - 1 = 0 then the value of x - 1/x is
(a) 2
(b) 3
(c) 5
(d) 9

Q16. If 2x2 + 12x + 18 = 0 then the value of x is
(a) -3
(b) -1
(c) 4
(d) 7

Q17. If the roots of ax2 + bx + c = 0 be equal then the value of c is
(a) b2/3a
(b) a2/4b
(c) b2/4a
(d) a3/4b

Q18. If one root of x2 - 5kx + 6 = 0 is 4, then the value of k is
(a) 5/7
(b) 9/8
(c) 11/7
(d) 11/10

Q19. For what value of k, the equation x2 + 2(k - 4)x + 2k = 0 has equal roots ?
(a) 5, 7
(b) 7, 3
(c) 8, 2
(d) 9, 5

Q20. If α, β be roots of the equation ax2 + bx + c = 0, then the value of (α2/β + β2/α) is
(a) (3abc-b3)/a2c
(b) (3abc-a3)/a3c
(c) (2abc-b2)/a2c
(d) (2abc-b3)/a3c

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