Two points A and B move from rest along a straight line with constant acceleration f and f′ respectively. If A takes m sec. more than B and describes ‘n’ units more than B in acquiring the same speed then
(f - f′)m2 = ff′n
(f + f′)m2 = ff′n
1/2(f - f′)m = ff′n2
1/2(f - f′)m = ff′n2
The sum of the series
D.
If the pair of lines ax2 + 2(a + b)xy + by2 = 0 lie along diameters of a circle and divide the circle into four sectors such that the area of one of the sectors is thrice the area of another sector then
3a2 – 10ab + 3b2 = 0
3a2 – 2ab + 3b2 = 0
3a2 + 10ab + 3b2 = 0
3a2 + 10ab + 3b2 = 0
If both the roots of the quadratic equation x2 – 2kx + k2 + k – 5 = 0 are less than 5, then k lies in the interval
(5, 6]
(6, ∞)
(-∞, 4)
(-∞, 4)
If the equation anxn +an-1xn-1 +....... +a1x =0, a1 ≠ 0, n≥2, has a positive root x = α, then the equation nanxn-1 + (n-1)an-1xn-2 +......+a1 = 0 has a positive root, which is
greater than α
smaller than α
greater than or equal to α
greater than or equal to α
Let R = {(3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9), (3, 12), (3, 6)} be a relation on the set A = {3, 6, 9, 12} be a relation on the set A = {3, 6, 9, 12}. The relation is
reflexive and transitive only
reflexive only
an equivalence relation
an equivalence relation
The differential equation representing the family of curves , where c > 0, is a parameter, is of order and degree as follows:
order 1, degree 2
order 1, degree 1
order 1, degree 3
order 1, degree 3
Let f : (-1, 1) → B, be a function defined by then f is both one-one and onto when B is the interval
[0, π/2)