Question

please tell me Section formula class 10th please it's urgent

Answer 1

So, the coordinates of the point P(x, y) which divides the line segment joining the points A(x1, y1) and B(x2, y2), internally, in the ratio m1 : m2 are { (m1x2 + m2x1)/(m1 + m2 ) ,  (m1y2 + m2y1)/(m1 + m2 ) } .This is known as the section formula.

Refer ExamFear video lessons for Proof

The mid-point of the line segment joining the points P(x1, y1) and Q(x2, y2) is [(x1+x2)/2 ,(y1+y2)/2]

Numerical: Find the coordinates of the point which divides the line segment joining the points (4, – 3) and (8, 5) in the ratio 3 : 1 internally

Solution: Using section formula P(x, y) = { (m1x2 + m2x1)/(m1 + m2 ) ,  (m1y2 + m2y1)/(m1 + m2 ) }

We get P(x, y) = { (3*8 + 1*4 )/(3+1)   ,   (3* 5  + 1 *-3)/(3+1)   }   = (7,3)


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