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
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
A.
reflexive and transitive only
Reflexive and transitive only.
e.g. (3, 3), (6, 6), (9, 9), (12, 12) [Reflexive]
(3, 6), (6, 12), (3, 12) [Transitive].
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)