Question

The line x/a+x/b=1 passes through the point (2,-3) and (4,-5), then (a,b) is
1) (1,1)
2)(-1,1)
3)(1,-1)
4)(-1,-1)
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Answer 1

Answer:

Answer:–

• (a,b)=(-1,-1)

Given:–

• The line is x/a+y/b=1
• It passes through the points (2,-3) and (4,-5).

Solution:–

Since the line passes through the given points,

$\frac{x}{a} + \frac{y}{b} = 1$

If it passes through the point (2,-3)

$\frac{2}{a} - \frac{3}{b} =1$

$2b - 3a = ab$

If it passes through the point (4,-5)

$\frac{4}{a} - \frac{5}{b} = 1$

$4b - 5a = ab$

Now, Solve both equations,

$6a - 5a = - 2ab + ab$

$a = - ab$

$b = - 1$

Now , substitute b value in the equation,

$2b - 3a = ab$

$- 2 - 3a = - a$

$- 2a = 2$

$a = - 1$

So, The value of (a,b)=(-1,-1)

Answer 2

Answer:

The value of (a,b)=(-1 ,-1)