QJEEM06Ma76ba: JEE Main 2006 Mathematics - Class 11 JEEM06Ma76ba Solution: A straight line through the point A ( 3 , 4 ) is such that its…

Question

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A straight line through the point

A (3, 4)

is such that its intercept between the axes is bisected at

A

. Its equation is :

Accepted Answer

As is the mid point of

P Q,

therefore

\frac{a + 0}{2} = 3, \frac{0 + b}{2} = 4 \Rightarrow a = 6, b = 8

∴

Equation of line is

\frac{x}{6} + \frac{y}{8} = 1

or

4 x + 3 y = 24

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