MCQ

Consider four straight lines

(i) l_{1}; 3y = 4x + 5

(ii) l_{2}; 4y = 3x – 1

(iii) l_{3}; 4y + 3x = 7

(iv) l_{4}; 4x + 3y = 2

Which of the following statement is true?

#### Options

l

_{1}and l_{2}are perpendicularl

_{2}and l_{4}are parallell

_{2}and l_{4}are perpendicularl

_{2}and l_{3}are parallel

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#### Solution

**l _{2} and l_{4} are perpendicular**

**Explanation;**

Hint:

Slope of l_{1} = `4/3`;

Slope of l_{2} = `3/4`;

Slope of l_{3} = `-3/4`;

Slope of l_{4} = `-4/3`

(i) l_{1} × l_{2} = `4/3 xx 3/4` = 1 ...(False)

(ii) l_{1} = `4/3`; l_{4} = `-4/3` not parallel ...(False)

(iii) l_{2} × l_{4} = `3/4 xx - 4/3` = − 1 ...(True)

(iv) l_{2} = `3/4`; l_{3} = `-3/4` not parallel ...(False)

Concept: General Form of a Straight Line

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