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Question

Area of the triangle formed by the tangent at x=2 on the curve y=84+x2 with the coordinate axes is (in sq. units)

A
4
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B
3
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C
2
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D
1
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Solution

The correct option is A 4
y=84+x2

Atx=2 y=1

y=8(2x)(4+x2)2=16×282=12

Tangent is y=mx+c

y=12x+c

passes through (2,1) C=2

2y+x=4
Base of triangle =4

Height of triangle =42=2

Area of Δ=12×4×2=4 sq.unit

1416924_1090027_ans_25bd3feb84ce43e795654362a41fb34a.png

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