Question

Its given than 2 equation $ax+by+5=0$ and $\frac{3}{2}x+\sqrt{5}y-5=0$

represents the same line.Then $a=\frac{3}{2};b=\sqrt{5}.$

• A. True
• B. False

Answer 1

The correct option is B

False

When 2 equations represents the same curve we can equate the coefficients of the corresponding variables if coefficient of one of the variable is made equal to obtain any unknown.

But important part is that before equating such unknowns we should make the constant terms equal.

In this case, the lines are

$ax+by+5=0$ - - - - - - -(1)

$\frac{3}{2}x+\sqrt{5}y-5=0$

i.e.,$-\frac{3}{2}x-\sqrt{5}y+5=0$ - - - - - - (2)

$\therefore (x,y)=(-\frac{3}{2},-5)$