Definition of the slope of a line given the coordinates of two points on the line, includes slope as a ratio and an angle.
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In a triangle ABC BM and CN are perpendiculars from B and C respectively on any line passing through A If L is the mid point of BC prove that ML NL - Given:In a $triangle ABC, BM$ and $CN$ are perp...
Consider two points $A(1,2)$ and $B(3,-1)$.Let $M$ be a point on the straight line $L\equiv x+y=0$ such that $|AM-BM|$ is minimum,then the area of triangle AMB equals $(A)\frac{13}{4}\hspace{1cm}(B...
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Let $f:[a,b]\rightarrow\Bbb{R}$ be a function continuous on $[a,b]$ and differentiable on $(a,b)$. Let M$(\alpha,\beta)$ be a point on the line passing through the points $(a,f(a))$ and $(b,f(b))$...
Two distinct points $A$ and $B$ lie on the same side of the plane divided by a line $L$. Let M be a point on L such that minimizes the value $MA + MB$. Let N be a point on L such that $NA = NB$. Show