The length of the subnormal to the parabola y2 = 4dx at any point is equal to:
√2 a
2√2 a
a/√2
2a
The largest value of ax3 - 3x2 - 12x = 5 for -2 ≤ x ≤ 4 occurs at x =
-2
If a particle moving along a line follows the law t = as2 + bs + c , then the retardation of the particle is proportional to
Square of the velocity
Cube of the displacement
Cube of the velocity
Square of the displacement
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 displacement s of a particle at time 't' is given by s = a cos ωt + b sin ωt.Acceleration at time 't' is.
ω2s
s2/ω2
ω2
-ω2s
The side of an equilateral traingle is 'a' units and is increasing at the rate of k units/sec.Rate of increase of its area is.
√ ak
None of these
The min intercept made by the axis on the tangent to the ellipse is
2a + b
If u = x2y + y2z + z2x then ux + uy + uz =
x + y + z
3(x2y + y2z + z2x)
(x + y + z)2
Two towns A and B are 60 km a part A school is to be built to serve 150 students.If the total distance to be traveled by all 200 students is to be as small as possible, then the school should be built at
Town B
Town A
45 km from town B
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
