Question

If (a, b) is the point of intersection of line 7x + 9y = 62 with line y = 3, then a x b = (A) 15 (B) 12 (C) 8 (D) 5​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

If (a, b) is the point of intersection of line 7x + 9y = 62 with line y = 3, then a × b =

(A) 15

(B) 12

(C) 8

(D) 5

EVALUATION

Here the given equation of the line is

7x + 9y = 62

Now when it intersect with the line y = 3 then we have

7x + ( 9 × 3 ) = 62

⇒ 7x + 27 = 62

⇒ 7x = 35

⇒ x = 5

So the point of intersection is ( 5,3)

Again it is given that the point of intersection is (a, b)

Thus we have a = 5 & b = 3

Consequently we get a × b = 5 × 3 = 15

FINAL ANSWER

Hence the correct option is (A) 15

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