Class -X Practice MCQs Grand Test-1

The pairs of equations x+2y-5 = 0 and -4x-8y+20=0 have:

• Unique solution

• Exactly two solutions

• Infinitely many solutions

• No solution

If a pair of linear equations is consistent, then the lines are:

• Parallel

• Always coincident

• Always intersecting

• Intersecting or coincident

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

• 1/2

• 4/5

The value of c for which the pair of equations cx – y = 2 and 6x – 2y = 3 will have infinitely many solutions is

• 3

• -3

• 12

• no value

If 29x + 37y = 103, 37x + 29y = 95 then

• x = 1, y = 2

• x = 2, y = 1

• x = 2, y = 3

• x = 3, y = 2

The sum of the digits of a two-digit number is 9. If 27 is added to it, the digits of the number get reversed. The number is

• 27

• 72

• 45

• 36

If cos A = 4/5, then the value of tan A is

• 3/5

• 3/4

• 4/3

• 5/3

The value of (tan 30°)/(cot 60°) is

• 1/√2

• 1/√3

• √3

• 1

The value of (sin 30° + cos 30°) – (sin 60° + cos 60°) is

• -1

• 0

• 1

• 2

Given that sin α = 1/2 and cos β = 1/2, then the value of (α + β) is

• 0°

• 30°

• 60°

• 90°