Question

The area of the triangle formed by the line 4x+3y= 12 and
the coordinate axes is

4 sq.units
6 sq.units
10 sq.units
12 sq.units

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Answer 1

Answer:

This implies that

x2+2ax=4x−4a−13

or

x2+2ax−4x+4a+13=0

or

x2+(2a−4)x+(4a+13)=0

Since the equation has just one solution instead of the usual two distinct solutions, then the two solutions must be same i.e. discriminant = 0.

Hence we get that

(2a−4)2=4⋅1⋅(4a+13)

or

4a2−16a+16=16a+52

or

4a2−32a−36=0

or

a2−8a−9=0

or

(a−9)(a+1)=0

So the values of a are −1 and 9.

Answer 2

Step-by-step explanation:

The area of triangle formed by the line 2x+3y=12 and the coordinate axis is 12 sq units.