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NTA Abhyas JEE Main2020MathematicsStraight LinesPractice

The line x = c 2 divides the triangle with vertices 0,0 , 1,1 and 9,1 into two regions. If the area of the two regions is the same, then c is equal to

Options

A30
B6
C7 2
D15

Correct answer

B. 6

Step-by-step solution

2 ⋅ 1 2 ⋅ 9 1 1 c 2 1 1 c 2 c 18 1 = 1 2 9 1 1 1 1 1 0 0 1 = 1 2 ⋅ 8 = 4 ⇒ c 2 = 3 or c 2 = 15 (not possible) ⇒ c = 6

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