Match List-l with List-ll

List-l	List-II
(A) \(\lim _{x \rightarrow 0} \frac{1-\cos 2 x}{x}\)	(I) \(\frac{5}{2}\)
(B) \(\lim _{x \rightarrow 0} \frac{\sin 2 x}{x}\)	(II) 5
(C) \(\lim _{x \rightarrow 1} \frac{x^5-1}{x^2-1}\)	(III) 2
(D) \(\lim _{x \rightarrow 0} \frac{(x+1)^5-1}{x}\)	(IV) 0

Choose the correct answer from the options given below:

Mean and variance of a binomial distribution are 6 and 2 respectively.
The probability of 2 successes will be

If \(x=\frac{a}{1+t}\) and \(y=\frac{a}{(1+t)^2}\) where \(a>0\), then \(\frac{d^2 y}{d x^2}\) at \(t=1\) is:

If the matrix \(\left[\begin{array}{ccc}1 & 3 & 9 \\ 1 & x & x^2 \\ 4 & 6 & 9\end{array}\right]\) is a singular matrix, where \(x \in N\) (the set of natural numbers), then \(x\) is equal to

If matrix \(A=\left[\begin{array}{ll}3 & x \\ y & 0\end{array}\right]\) and \(A^{\prime}=A\), then :

The value of integral \(\int \sqrt{4 x^2+9} d x\) is

If order of matrix A is \(m \times p\) and order of matrix B is \(p \times n\), then what is the order of matrix AB ?

Read the paragraph and answer the question.
Broadly, genetic disorders may be grouped into two categories - Mendelian disorders and Chromosomal disorders. Mendelian disorders are mainly determined by alteration or mutation in the single gene. These disorders are transmitted to the offspring on the same lines as we have studied in the principle of inheritance. The trait may also be linked to the sex chromosome as in case of haemophilia. It is evident that this X-linked recessive trait shows transmission from carrier female of male progeny.
Match List I with List II

List I	List ll
(A) Autosomal dominant trait	(I) Klinefelter's Syndrome
(B) Autosomal recessive trait	(II) Sickle Cell Anaemia
(C) Sex linked recessive trait	(III) Myotonic Dystrophy
(D) Gain of chromosomes	(IV) Haemophilia

Choose the correct answer from the options given below:

Which of the following compounds will not give a red precipitate
when heated with Fehling's solution?

The sensitivity of a moving coil galvanometer can be increased by decreasing

Use of bio-resources without proper authorization from the concerned countries is termed as:

A slit is illuminated by light of wavelength \( 6500 \text{ \AA} \).
The first minimum is observed at \( \theta = 30^\circ \). The width of the slit is:

In a country, at any time, the population has the same number of youngs and mature ones. What type of growth does it reflect?