If two vectors \(\vec{a}\) and \(\vec{b}\) are such that \(|\vec{a}|=2,|\vec{b}|=3\) and \(\vec{a} \cdot \vec{b}=4\), then \(|\vec{a}-2 \vec{b}|\) is :

If \(\left[\begin{array}{cc}2 & -1 \\ 1 & 0 \\ -3 & 4\end{array}\right] A=\left[\begin{array}{ccc}-1 & -8 & -10 \\ 1 & -2 & -5 \\ 9 & 22 & 15\end{array}\right]\), then matrix \(A\) is equal to:

All positive integral powers of a symmetric matrix are:

If \(y=\cos ^{-1}\left(\frac{1-x^2}{1+x^2}\right), 0 < x < 1\), then \(\frac{d y}{d x}\) is equal to :

If three balls are drawn one by one without replacement from a bag containing 5 white and 4 red balls, then the probability distribution of the number of white balls drawn is

Let \(A=\{1,2,3\}\), then the possible equivalence relations on \(A\) are :
(A) \(\{(1,1),(2,2),(3,3)\}\)
(B) \(\{(1,1),(2,2),(3,3),(1,2),(2,1)\}\)
(C) \(\{(1,1),(2,2),(3,3),(1,2),(2,1),(1,3)\}\)
(D) \(\{(1,1),(2,2),(3,3),(1,3),(3,1)\}\)
Choose the correct answer from the options given below :

The direction ratios of the line perpendicular to the lines \(\frac{x-5}{2}=\frac{y+11}{-3}=\frac{z+3}{1}\) and \(\frac{x-7}{1}=\frac{y+2}{2}=\frac{z-4}{-2}\) are proportional to :

Two parallel plate capacitors of capacitances \(2 \, \mu\text{F}\) and \(3 \, \mu\text{F}\) are joined in series and connected to a battery of V volts. The values of potential across the two capacitors \(V_1\) and \(V_2\) and energy stored in them \(U_1\) and \(U_2\) are related as :

Arrange the geological periods in order of occurance from the recent to oldest one.
(A) Tertiary
(B) Permian
(C) Carboniferous
(D) Jurassic Choose the correct answer from the options given below:

MONOHYBRID CROSS
The inheritance of flower color in the dog flower (Snapdragon or Antirrhinum sp.) can be understood by crossbreeding between true-breeding red-flowered (RR) and true-breeding white-flowered plants (rr). When they were crossed, F₁ (Rr) was pink. When F₁ was self-pollinated, the F₂ results were Red, Pink and White. Here the genotype ratios were exactly as expected, but the phenotype ratios have been changed. What happened was that R was not completely dominant over r and this made it possible to distinguish Rr as pink from RR (Red) and rr (White).
What will be the percentage of progeny in F₁ generation when RR (red flowered plant) is crossed with rr (white flowered plant) in the above passage?

Which food item are ripened to get a particular flavour by growing of a specific fungi on them?

A conducting ring of radius r in a magnetic field varying at rate x has electric field intensity at any ring point as :

Cofactor of \(a_{12}\) in \(A=\left[\begin{array}{ccc}1 & 2 & 3 \\ 4 & -5 & 6 \\ 0 & 1 & -1\end{array}\right]\) is: