Post-assessment | CBSE | G10 | C.3 Pair of Linear Equtions in TV

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

• 4/5

• 5/4

The solution of the equations x-y=2 and x+y=4 is:

• 3 and 1

• 4 and 3

• 5 and 1

• -1 and -3

• Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

• Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

• Assertion (A) is true but reason (R) is false.

• Assertion (A) is false but reason (R) is true.

Without drawing the graphs, state whether the following pair of linear equations will represent intersecting lines, coincident lines of parallel lines:

6𝑥 − 3𝑦 + 10 = 0

2𝑥 − 𝑦 + 9 = 0

Justify your answer.

The sum of numerator and denominator of a fraction is 3 less than twice the denominator. If each of the numerator and denominator is decreased by 1, the fraction becomes 1/2. Find the fraction.