Quantitative - Mathematics - Solid Geometry:

Lines and Angles

MCQ - 59-11911

Question:

Two lines in a plane are represented by y = x -1 and 2x + 5y = 9. The coordinates of the point at which the lines intersect are

(2, 1)
(1,2)
(2,5)
(1,2)
(3,5)

Correct Answer: A

Explanation:

Two lines in a plane are represented by y = x -1 and 2x + 5y = 9. The coordinates of the point at which the lines intersect are

2x + 5y = 9

5y = -2x + 9

y = $\frac{-2x + 9}{5}$

x - 1 = $\frac{-2x + 9}{5}$

5(x - 1) = -2x + 9

5x - 5 = -2x + 9

7x = 14

x = 2

Put the valur of x in equation y = x -1

y = 2 - 1

y = 1

So the intersection is at (2, 1)

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131 MCQ for effective preparation of the test of Lines and Angles of Solid Geometry section.

Read the MCQ statement: Two lines in a plane are represented by y = x -1 and 2x + 5y = 9. The coordinates of the point at which the lines intersect are , keenly and apply the method you have learn through the video lessons for Lines and Angles to give the answer. Record your answer and check its correct answer and video explanation for MCQ No. 59-11911.

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Solve the question for MCQ No. and decide which option (A through D/E) is the best choice to answer the MCQ, then click/tap the blue button to view the correct answer and it explanation.

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