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Straight Lines and Pair of Straight Lines question

2024 · 5 Apr · Shift 2 · Q38

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Straight Lines and Pair of Straight Lines
2024 · 5 Apr · Shift 2 · Q38

Straight Lines and Pair of Straight Lines question

2024 · 5 Apr · Shift 2 · Q38

JEE MainMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1

Let

\mathrm{A}(-1,1)

and

\mathrm{B}(2,3)

be two points and

\mathrm{P}

be a variable point above the line

\mathrm{AB}

such that the area of

\triangle \mathrm{PAB}

is 10. If the locus of

\mathrm{P}

is

\mathrm{a} x+\mathrm{by}=15

, then

5 \mathrm{a}+2 \mathrm{~b}

is :

A
$-\frac{12}{5}$
B
$-\frac{6}{5}$
C
6
D
4

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