Maths Straight Line Foot of Perpendicular, Transformation, Pedal Points, Image of A Point Single Correct MCQ
Published on: August 13, 2026

The line meets the x -axis at A and y -axis at B . The line through (5, 5) perpendicular to meets the x - axis , y axis and the at C , D and E respectively. If O is the origin of coordinates, then the area of is

A
sq . units
B
units
C
units
D
None of these

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The correct answer is:
C

Here O is the point . The line meets the y -axis at B and so B is the point (0,4). The equation of any line perpendicular to the line and passes through (5, 5) is ......(i)

The line (i) meets the x- axis at C and so co-ordinates of C are Similarly the coordinates of E are (3, 2) by solving the line AB and (i). Thus O (0, 0), , and B (0, 4). Now the area of figure area of + area of units.

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