TRUE / FALSE

Question 11 Mark

if the point (2, a) lies on the line 2x – y = 3, then a = 5.

Answer

The point (2, a) lies on the line 2x − y = 3.
∴ 2(2) − a = 3
4 - a = 3
a = 4 − 3 = 1
Thus, the given statement is false.

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Question 21 Mark

the point (-3, 0) lies on the line x + 3 = 0

Answer

L.H.S. = x + 3 = −3 + 3 = 0 = R.H.S
Thus, the point (−3, 0) lies on the line x + 3 = 0.
The given statement is true.

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Question 31 Mark

State, true or false:the point (8, 7) lies on the line y – 7 = 0

Answer

L.H.S = y − 7 = 7 − 7 = 0 = R.H.S.
Thus, the point (8, 7) lies on the line y - 7 = 0.
The given statement is true.

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Question 41 Mark

the line $\frac{x}{2}+\frac{y}{3}=0$ passes through the point $(4,-6)$

Answer

The given line is $\frac{x}{2}+\frac{y}{3}=0$
Substituting x = 4 and y = -6 in the given equation,
L.H.S $=\frac{4}{2}+\frac{-6}{3}=2-2=0=$ R.H.S
Thus, the given statement is true.

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Question 51 Mark

the line $\frac{x}{2}+\frac{y}{3}=0$ passes through the point $(2,3)$

Answer

The given line is $\frac{x}{2}+\frac{y}{3}=0$
Substituting x = 2 and y = 3 in the given equation,
L.H.S $=\frac{x}{2}+\frac{ y }{3}=1+1=2 \neq$ R.H.S
Thus, the given statement is false.

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