Suppose that the points h ,   k ,   1 ,   2 and - 3 ,   4 lie on the line L 1 . If a line L 2 passing through the points h ,   k and 4 ,   3 is perpendicular to L 1 , then k h equals:

Question

Suppose that the points h , &#8201; k , &#8201; 1 , &#8201; 2 and - 3 , &#8201; 4 lie on the line L 1 . If a line L 2 passing through the points h , &#8201; k and 4 , &#8201; 3 is perpendicular to L 1 , then k h equals:

Quantrex Academy · Accepted Answer

Correct answer: D. 1 3

Slope of line L 1 is 4 - 2 - 3 - 1 = 2 - 4 = - 1 2 Hence slope of L 2 is 2 . From line L 1 , k - 2 h - 1 = - 1 2 ⇒ h + 2 k = 5 …..(1) From line L 2 , k - 3 h - 4 = 2 ⇒ k = 2 h - 5 ..…(2) From (1) and (2) h = 3 and k = 1 ⇒ k h = 1 3

Suppose that the points h ,   k ,   1 ,   2 and - 3 ,   4 lie on the line L 1 . If a line L 2 passing through the points h ,   k and 4 ,   3 is perpendicular to L 1 , then k h equals:

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Suppose that the points h , &#8201; k , &#8201; 1 , &#8201; 2 and - 3 , &#8201; 4 lie on the line L 1 . If a line L 2 passing through the points h , &#8201; k and 4 , &#8201; 3 is perpendicular to L 1 , then k h equals:

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Correct answer

Step-by-step solution

More from Straight Lines

Suppose that the points h , k , 1 , 2 and - 3 , 4 lie on the line L 1 . If a line L 2 passing through the points h , k and 4 , 3 is perpendicular to L 1 , then k h equals: