If a,b are intercepts of the line which is perpendicular to the line passing through the points $$3$$,$$5$$,$$4$$,$$3$$ and passing through the point $$5$$,$$6$$ then $$ab=$$

Question

If a,b are intercepts of the line which is perpendicular to the line passing through the points $$3$$,$$5$$,$$4$$,$$3$$ and passing through the point $$5$$,$$6$$ then  $$ab=$$

Infinity Learn · Accepted Answer

The slope of the line joining the points $$3$$,$$5$$,$$4$$,$$3$$ is  $$m=3$$−$$54$$−$$3=$$−$$2Equation$$ of line passing through the point $$5$$,$$6$$  and perpendicular to the line having slope $$-2$$ is  y−$$6=12x$$−$$52y$$−$$12=x$$−$$5x$$−$$2y+7=0Isolate$$ the constant term and then divide with that constant on both sidesx−$$2y=$$−$$7x$$−$$7+y72=1Therefore$$, x− intercept  is $$a=$$−$$7$$  and the y−intercept is  $$b=72Hence$$, $$ab=$$−$$2$$

If a,b are intercepts of the line which is perpendicular to the line passing through the points $(3, 5), (4, 3)$ and passing through the point $(5, 6)$ then $\frac{a}{b} =$

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If a,b are intercepts of the line which is perpendicular to the line passing through the points 3,5,4,3 and passing through the point 5,6 then ab=

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If a,b are intercepts of the line which is perpendicular to the line passing through the points $(3, 5), (4, 3)$ and passing through the point $(5, 6)$ then $\frac{a}{b} =$