Which one of the following compounds has the smallest bond angle in its molecule?

The reason for double helical structure of $$DNA$$ is operation of

Complete hydrolysis of cellulose gives

If $$a>0$$ and discriminant of $$a{x}^2+2bx+c$$ is $$-ve$$, then \left| {\matrix{ a & b & {ax + b} \cr b & c & {bx + c} \cr {ax + b} & {bx + c} & 0 \cr } } \right| is equal to

A problem in mathematics is given to three students $$A,B,C$$ and their respective probability of solving the problem is {1 \over 2},{1 \over 3} and {1 \over 4}. Probability that the problem is solved is :

$$A$$ and $$B$$ are events such that $$P\left(A\cup B\right)=3/4$$,$$P\left(A\cap B\right)=1/4,$$ $$P\left(\overline{A}\right)=2/3$$ then $$P\left(\overline{A}\cap B\right)$$ is :

A dice is tossed $$5$$ times. Getting an odd number is considered a success. Then the variance of distribution of success is :

If $$y={\left(x+\sqrt{1+x^2}\right)}^n,$$ then \left( {1 + {x^2}} \right){{{d^2}y} \over {d{x^2}}} + x{{dy} \over {dx}} is

The solution of the equation \,{{{d^2}y} \over {d{x^2}}} = {e^{ - 2x}}

The order and degree of the differential equation \,{\left( {1 + 3{{dy} \over {dx}}} \right)^{2/3}} = 4{{{d^3}y} \over {d{x^3}}} are

The pair of lines represented by $3a{x^2} + 5xy + \left( {{a^2} - 2} \right){y^2} = 0$ are perpendicular to each other for :

If the pair of lines $$a{x}^2+2hxy+b{y}^2+2gx+2fy+c=0$$ intersect on the $$y$$-axis then :

Locus of mid point of the portion between the axes of $$x$$ $$cos$$ $$\alpha +y\sin \alpha =p$$ where $$p$$ is constant is :

A triangle with vertices $$\left(4,0\right),\left(-1,-1\right),\left(3,5\right)$$ is :

If $$a_n=\sqrt{7+\sqrt{7+\sqrt{7+.......}}}$$ having $$n$$ radical signs then by methods of mathematical induction which is true

$$r$$ and $$n$$ are positive integers $$r>1,n>2$$ and coefficient of $${\left(r+2\right)}^{th}$$ term and $$3r^{th}$$ term in the expansion of $${\left(1+x\right)}^{2n}$$ are equal, then $$n$$ equals

The coefficients of $$x^p$$ and $$x^q$$ in the expansion of $${\left(1+x\right)}^{p+q}$$ are

If the sum of the coefficients in the expansion of $${\left(a+b\right)}^n$$ is 4096, then the greatest coefficient in the expansion is

The positive integer just greater than $${\left(1+0.0001\right)}^{10000}$$ is

Which one is not periodic?