Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th
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Consider four straight lines(i) l1 : 3y = 4x + 5(ii) l2 : 4y = 3x – 1(iii) l3 : 4y + 3x = 7iv) l4 : 4x + 3y = 2Which of the following statement is true? - Mathematics

MCQ

Consider four straight lines
(i) l1; 3y = 4x + 5
(ii) l2; 4y = 3x – 1
(iii) l3; 4y + 3x = 7
(iv) l4; 4x + 3y = 2
Which of the following statement is true?

Options

  • l1 and l2 are perpendicular

  • l2 and l4 are parallel

  • l2 and l4 are perpendicular

  • l2 and l3 are parallel

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Solution

l2 and l4 are perpendicular

Explanation;

Hint:

Slope of l1 = `4/3`;

Slope of l2 = `3/4`;

Slope of l3 = `-3/4`;

Slope of l4 = `-4/3`

(i) l1 × l2 = `4/3 xx 3/4` = 1   ...(False)

(ii) l1 = `4/3`; l4 = `-4/3` not parallel  ...(False)

(iii) l2 × l4 = `3/4 xx - 4/3` = − 1   ...(True)

(iv) l2 = `3/4`; l3 = `-3/4` not parallel   ...(False)

  Is there an error in this question or solution?
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APPEARS IN

Samacheer Kalvi Mathematics Class 10 SSLC Tamil Nadu State Board
Chapter 5 Coordinate Geometry
Exercise 5.5 | Q 11 | Page 236
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