Question
The intercepts on X- axis made by tangents to the curve, 
which are parallel to the line y =2x, are equal to
-
±1
-
±2
-
±3
-
±4
Solution
A.
±1
∴ Equation of tangent is
y-2 = 2(x-2)
and y +2 = 2 (x+2)
for x - intercept, put y = 0, we get
0- 2 = 2(x-2)
and 0+2 = 2(x+2)
x = ±1
for x - intercept, put y = 0, we get
0- 2 = 2(x-2)
and 0+2 = 2(x+2)
x = ±1
