In the real number system, the equation sqrt(x + 3− 4 x −1) + sqrt(x + 8 − 6 x −1) = 1 has
option
(A) No solution
(B) Exactly two distinct solutions
(C) Exactly four distinct solutions
(D) Infinitely may solutions
A juggler tosses a ball up in the air with initial speed u. At the instant it reaches its maximum height H, he tosses up a second ball with the same initial speed. The two balls will collide at a height
Let I, ω and ω2 be the cube roots of unity. The least possible degree of a polynomial, with real coefficients,
having 2ω^2, 3 + 4ω, 3 + 4ω^2 and 5 – ω – ω^2 as roots is-
Two students are given two different double stranded DNA molecules of equal length. They are asked to
denature the DNA molecules by heating. The DNA given to student A has the following composition of
bases (A:G:T:C:35:15:35:15) while that given to student B is (A:G:T:C::12:38:12:38). Which of the
following statements is true ?
(A) Both the DNA molecules would denature at the same rate
(B) The information given is insufficient to draw any conclusion
(C) DNA molecule given to student B would denature faster than that of student A
(D) DNA molecule given to student A would denature faster than that given to student B
In a diploid organism, there are three different alleles for a particular gene. Of these three alleles one is
recessive and the other two alleles exhibit co-dominance. How many phenotypes are possible with this set of
alleles ?
(A) 3 (B) 6 (C) 4 (D) 2
At time t = 0, a container has N0 radioactive atoms with a decay constant λ. In addition, c numbers of atoms
of the same type are being added to the container per unit time. How many atoms of this type are there at
t = T