Let L1 be a tangent to the parabola y2 = 4(x + 1) and L2 be a tangent to the parabola y2 = 8(x + 2) such that L1 and L2 intersect at right angles. Then L1 and L2 meet on the straight line :
x + 3 = 0
2x + 1 = 0
x + 2y = 0
x + 2 = 0
Which of the following points lies on the locus of the foot of perpendicular drawn upon any tangent to the ellipse, from any of its foci?
(1, 2)
Out of 11 consecutive natural number if three numbers are selected at random (without repetition), then the probability that they are in A.P. with positive common difference is :
Let a , b, c, d and ay non zero distinct real numbers such that (a2 + b2 + c2)p2 – 2(ab + bc + cd)p + (b2 + c2 + d2) = 0. Then :
a, b, c, d are in A.P.
a, c, p are in G.P.
a, b, c, d are in G.P.
a, c, p, are in A.P.
A.
Two families with three members each and one family with four members are to be seated in a row. In how many ways can they be seated so that the same family members are not separated ?
2! 3! 4!
3!(4!)3
3! . 2 . (4!)
(3!)3 . (4!)