Question

9. Find the st. lines through (5,- 3), which cut the axes so
that the intercepts are equal in magnitude.

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Answer 1

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Let intercept on x axis be 'a' units

so, intercept on y axis be 'a' units.

So Equation of line using line intercept form is

$\small\bold\red{ \frac{x}{a} + \frac{y}{a} = 1 } \\ \small\bold\red{ = > \: x + y = a.......(1)} \\ since \: (1) \: passes \: through \: (5 \: , - 3) \\ \small\bold\red{ = > \: 5 - 3 = a }\\\small\bold\red{ = > \: a = 2} \\ \small\bold\red{so \: equation \: (1) \: becomes} \\ \small\bold\red{x + y = 2.}$

$\huge \fcolorbox{black}{cyan}{♛hope \: it \: helps \: you♛}$

Answer 2

Answer:

see this sum step by step

class 11 chapter 10