Question

Case Study based-1:

oom, 4 friends are seated at the points A, B, C and D as shown in figure. Reeta and Meeta walk

into the. the room roo ancd after observing for a few minutes Reeta asks Meeta.

Asks Meeta
What is the equation of line CD?

X-y-5 = 0 () x + y-5 =0 (iii) x +y+ 5 = 0

B 18. Case Study based-2:

(iv) x- y +5 0
​

Answer 1

SOLUTION

TO DETERMINE

4 friends are seated at the points A, B, C and D as shown in figure. Reeta and Meeta walk into the room and after observing for a few minutes Reeta asks Meeta.

What is the equation of line CD?

(i) x - y - 5 = 0

(ii) x + y - 5 =0

(iii) x + y + 5 = 0

(iv) x - y + 5 = 0

EVALUATION

Here in the given figure we see that coordinates of C is (9,4) and D is (6,1)

So the required equation of the line CD is

$\displaystyle \sf{ \frac{y - 4}{x - 9} = \frac{4 - 1}{9 - 6} }$

$\displaystyle \sf{ \implies \frac{y - 4}{x - 9} = \frac{3}{3} }$

$\displaystyle \sf{ \implies \frac{y - 4}{x - 9} = 1}$

$\displaystyle \sf{ \implies y - 4 = x - 9 }$

$\displaystyle \sf{ \implies x - y - 5 = 0 }$

FINAL ANSWER

The correct option is

(i) x - y - 5 = 0

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