LINEAR EQUATION AND QUADRATIC EQUATION

The solution of the following pair of equation is:

x – 3y = 2, 3x – y = 14

• x = 5, y = 1

• x = 2, y = 3

• x = 1, y = 2

• x = 1, y = 4

The pair of linear equations 2x + 3y = 5 and 4x + 6y = 10 is

• inconsistent

• consistent

• dependent consistent

• none of these

If one zero of the quadratic polynomial x² + 3x + k is 2, then the value of k is

• 10

• –10

• 5

• –5

The value of k for which the pair of equation kx – y = 2 and 6x – 2y = 3 has unique solution

• k = 3

• k ≠ 3

• k ≠ 0

• k = 0

If x² + k (4x + k -1) + 2 = 0 has equal roots, then k = .........

• -2/3, 1

• 2/3, -1

• 3/2, 1/3

• 3/2, -1/3

The values of k for which the quadratic equation 2x²

– kx + k = 0 has equal roots is

• 0 only

• 8 only

• 0,8

• 4

If 1⁄2 is a root of the equation x² + kx – 5/4 = 0, then the value of k is

• 2

• – 2

• 1⁄4

• 1⁄2

The pair of equations x + 2y + 5 = 0 and –3x – 6y + 1 = 0 have

• a unique solution

• exactly two solutions

• infinitely many solutions

• no solution

If the lines 3x + 2ky – 2 = 0 and 2x + 5y + 1 = 0 are parallel, then what is the value of k?

• 4/15

• 15/4

• 4/5

• 5/4

What is the positive real root of 64x2

– 1 = 0?

• 1/8

• 1/4

• 1/2

• 1/6