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Question

Question: If the line ![](https://cdn.pureessence.tech/canvas_670.png?top_left_x=1086&top_left_y=1595&width=12...

If the line + = 1 passes through the points (2, – 3) and (4, – 5) then (a, b) =

A

(1, 1)

B

(– 1, 1)

C

(1, – 1)

D

(–1, –1)

Answer

(–1, –1)

Explanation

Solution

xa+yb\frac { \mathrm { x } } { \mathrm { a } } + \frac { \mathrm { y } } { \mathrm { b } } = 1

P (2, – 3) Ž 2a\frac { 2 } { \mathrm { a } } = 1 ....(i)

Q (4, – 5) Ž 5b\frac { 5 } { b } = 1 ….(ii)

Solve (i) & (ii)

a = – 1 , b = – 1