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Pair of Liner Equation in Two Variable

One equation of a pair of dependent linear equations is –5x + 7y = 2. The second equation can be
(A) 10x + 14y + 4 = 0 (B) –10x – 14y + 4 = 0
(C) –10x + 14y + 4 = 0 (D) 10x – 14y = –4

Pair of Liner Equation in Two Variable

The value of c for which the pair of equations cx – y = 2 and 6x – 2y = 3 will have infinitely many solutions is
(A) 3 (B) – 3 (C) –12 (D) no value

Pair of Liner Equation in Two Variable

For what value of k, do the equations 3x – y + 8 = 0 and 6x – ky = –16 represent coincident lines?
(A) 1/2 (B) –1/2 (C) 2 (D) –2

Pair of Liner Equation in Two Variable

The pair of equations x = a and y = b graphically represents lines which are
(A) parallel (B) intersecting at (b, a)
(C) coincident (D) intersecting at (a, b)

Pair of Liner Equation in Two Variable

The pair of equations y = 0 and y = –7 has
(A) one solution (B) two solutions
(C) infinitely many solutions (D) no solution

Pair of Liner Equation in Two Variable

If a pair of linear equations is consistent, then the lines will be
(A) parallel (B) always coincident
(C) intersecting or coincident (D) always intersecting

Pair of Liner Equation in Two Variable

The pair of equations x + 2y + 5 = 0 and –3x – 6y + 1 = 0 have
(A) a unique solution (B) exactly two solutions
(C) infinitely many solutions (D) no solution

Pair of Liner Equation in Two Variable

The sum of the digits of a two-digit number is 9. If 27 is addedto it, the digits of the number get reversed. The number is 
(A) 25 (B) 72 (C) 63 (D) 36

Pair of Liner Equation in Two Variable

The pair of equations 5x – 15y = 8 and 3x – 9y =24/5 has 

(A) one solution (B) two solutions (C) infinitely many solutions (D) no solution

Polynomials

For which values of a and b, are the zeroes of q(x) = x³ + 2x² + a also the zeroes of the polynomial p(x) = x⁵ – x⁴ – 4x³ + 3x² + 3x + b? Which zeroes of  p(x) are not the zeroes of q(x)?