The equation of the tangent to the curve y = 2sinx + sin2x at x = π/3 is equal to:
2y = 3√3
y = 3√3
2y + 3 √3 = 0
y + 3 √3 = 0
f ( x ) = 1 + 2 sin x + 2 cos 2 x, 0 ≤ x ≤ π/2 is maximum and minimum respectively at x =
π/6, π/2
π/2, π/6
π/3, π/3
π/3, π/2
If the rate of change of area of a circle is equal to the rate of change of its diameter,then its radius =
2/π
1/π
π/2
π
If u = x2y + y2z + z2x then ux + uy + uz =
x + y + z
3(x2y + y2z + z2x)
(x + y + z)2
The slope of the tangent to the curve y = 16 - x2 at x = 0 is
0
-2
2
16
The equation of the normal to the curve y (x - 2 ) (x - 3) 0 x + 7 = 0 at the point where it cuts the x axis is:
x - 20y = 7
20 x - y = 7
20x + y = 140
20x - y = 140
The minimum radius vector of the curve is of length
a - b
a + b
a + 2b
If a particle moving along a line follows the law then the acceleration is proportional to
Square of the velocity
Cube of the displacement
Cube of the velocity
Constant
The equation of the tangent to the curve y = 2 x2 - 3x - 1 at the point (1,-2) is
x - y - 3 = 0
x - y + 3 = 0
x + y - 3 = 0
x + y + 3 = 0
