Question

1. Lines 2x + 3y = 5 and px + 6y = 1 are parallel then p = 1.
2. Equation of a line parallel to 2x + y = 4 and passing through (3, 5) is 2x + y = 2.

विकल्प

• Only (i)

• Only (ii)

• Both (i) and (ii)

• Neither (i) nor (ii)

Answer 1

Neither (i) nor (ii)

Explanation:

⇒ Going through (i) statement,

For lines to be parallel, the ratio of their x and y coefficients must be equal:

`2/p = 3/6`

`2/p = 1/2`

∴ p = 4

Since the statement says p = 1, it is invalid.

⇒ Going through (ii) statement,

A line parallel to 2x + y = 4 will have the same form: 2x + y = k,

To find k, substitute the point (3, 5):

2(3) + 5 = k

6 + 5 = k

∴ k = 11

The correct equation should be 2x + y = 11, not 2x + y = 2.

So, this statement is also invalid.