The equation of the normal of the curve y = x (2 - x ) at the point ( 2, 0 ) is
x - 2y = 2
2x + y = 4
x - 2y + 2 = 0
None of these
f (x ) = √3 sin x + 3 cos x is max at x =
π/3
π/2
π/6
2π/3
The length of the sub-tangent to the curve √x + √y = 3 are the point ( 4, 1 ) is
2
1/2
-3
4
If tangent to the curve x = at2, y = 2at is perpendicular to x axis, then its point of contact is:
(a, a)
( 0, a )
( a, 0 )
( 0, 0 )
The equation to the normal of the curve y = sin x at ( 0,0) is:
x = 0
y = 0
x + y = 0
x - y = 0
If u = x2y + y2z + z2x then ux + uy + uz =
x + y + z
2 (x + y + z)
3(x2y + y2z + z2x)
(x + y + z)2
The radius of a balloon is increasing at the rate of 10 cm per second.At what rate is the surface of the balloon increasing when the radius is 15 cm ?
120 π cm2/sec
1200 π cm2/sec
600 π cm2/sec
1500 π cm2/sec
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 equation of the normal to the curve y = sin x at (π, 0 ) is :
x + y = π
x + y + π = 0
x - y = π
x - y + π = 0
