Question

0.1.
(a) The line segment P (3,6) and Q (4,-5) is intercepted by the X-axis at a point A. Find the ratio in
which A divides PQ. Also write the co-ordinates of A.
[4]​

Answer 1

Step-by-step explanation:

x intercepted means the co ordinates in which x-axis will divide will be (x,0).

Answer 2

Answerrrrrr......

$\huge{\boxed{\dfrac{39}{11}}}$

Explanation

By applying the formula

Let the Ratio be k:1

(x,y) = $\dfrac{kx_2+x_1}{k+1} , \dfrac{ky_2+y_1}{k+1}$

Now,

x= A

y=0 [since the point is on X-axis

coordinates ---> (A,0}

(A,0) = $\dfrac{k \times 4 + 3}{k+1} , \dfrac{k \times -5 + 6}{k+1}$

A= $\dfrac{4k+3}{k+1}$

$0 = \dfrac{-5k+6}{k+1} \\ \implies k= \dfrac{6}{5}$

Now we will put value of k in previous Equation

$A = \dfrac{4 \times \dfrac{6}{5} +3}{\dfrac{6}{5} +1} \\ \implies A= \dfrac{24+15}{11} \\ \leadsto {\boxed{ A=\dfrac{39}{11}}}$