Question

5. Find the ratio in which the line segment joining A(1,- 5) and B(-4,5) is divided by the
x-axis. Also find the coordinates of the point of division.
6. If (1.2). (4.), (x. 6) and (3.5) are the vertices of a parallelogram taken in order find.​

Answer 1

$\huge{\fbox{\fbox{\red{\mathfrak{ANSWER}}}}}$

5.

From the given statement,

We have to find the ratio

Let, the ratio be k:1

${\bf{\green{Hence, }}}$

${\bf{\pink{m1=k, m2=1}}}$

${\bf{\blue{x1=1,y1=-5.}}}$

${\bf{\red{x2=-4, y2=5}}}$

${\bf{\green{so, }}}$

${\bf{\orange{x=0,y=0}}}$

${\bf{\blue{using section formula }}}$

${\bf{\red{y=m1y2+m2y1/m1+m2}}}$

${\bf{\green{=>0=k(5)+1(-5)/k+1}}}$

${\bf{\green{=>5k-5=0}}}$

${\bf{\green{=>5k=5}}}$

${\bf{\pink{=>k=1}}}$

${\bf{\blue{Hence, }}}$

${\bf{\orange{k=1}}}$

${\bf{\green{Now, we need to find }}}$

${\bf{\red{x=m1x2+m2x1/m1+m2}}}$

${\bf{\blue{=>x=k(-4)+1(1)/k+1}}}$

${\bf{\blue{=>x=-4+1/1+1}}}$

${\bf{\blue{=>k=-3/2}}}$

${\bf{\pink{Hence, }}}$

${\bf{\green{the coordinate of the point is P(x, 0)}}}$

${\bf{\orange{=>P(-3/2,0)}}}$

Answer 2

Answer:

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