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
The coordinates of the point of the curve y = x2 + 3x + 4 the tangent at which passes through the origin are:
( 2, 14 ), ( -2, 2 )
( 2, 14 ), ( -2, -2 )
( 2, 14 ), ( 2, 2 )
None of these
The tangent to the parabola x2 = 2 y at the point makes with x - axis at an angle
0o
45o
30o
60o
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
The curve y = x3 + x + 1, 2y = x3 + 5x at ( 1, 3 ) are:
Touching each other
Intersecting orthogonally
Not intersecting
The length of the sub-tangent to the curve √x + √y = 3 are the point ( 4, 1 ) is
1/2
If y = 4x - 5 is tangent to the curve y2 = px3 + q at ( 2, 3 ) then
p = 2, q = -7
p = -2, q = 7
p = -2, q = -7
p = 2, q = 7
The length of the subnormal to the parabola y2 = 4dx at any point is equal to:
√2 a
2√2 a
a/√2
2a
f (x ) = √3 sin x + 3 cos x is max at x =
π/3
π/2
π/6
2π/3
A man is walking at the rate of 8 kmph towards the foot of a tower 60 metres high.The rate at which he is approaching the top when he is 80 metres from the foot of the tower is.
6.4 kmph
32/3 kmph
6 kmph
