Let orthocentre of ABC is (4,6). If A = (4,7) and B = (-2,…

Maths Straight Line NTA Abhiyas Question Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Let orthocentre of ABC is (4,6). If A = (4,7) and B = (-2,4), then coordinates of vertex C is

(5,4)

(4,5)

(-5,-4)

(-4,-5)

Text Solution

Verified by Experts

The correct answer is:

(5,4)

Let feet of altitudes through A, B, C are D, E, F respectively.

Now, C lies on the line CF, CA & CB

Now, the slope of AD is =N. D.

the slope of BC is 0 equation of BC is y = 4

Now, the slope of BE is

the slope of AC is -3

equation of the line AC is (y - 7) = -3 (x - 4)

Point of intersection of y = 4 and y - 7 = -3 (x - 4) gives point C

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