Given below are two statements : one is labelled as Assertion (A) and other is labelled as Reason (R). Assertion (A) : Sucrose is a disaccharide and a non-reducing sugar. Reason (R) : Sucrose involves glycosidic linkage between C1 of $$\beta$$-glucose and C2 of $$\alpha$$-fructose. Choose the most appropriate answer from the options given below :

Out of following isomeric forms of uracil, which one is present in RNA?

Hydrolysis of sucrose gives :

Which one of the following compounds contains $$\beta$$-C1-C4 glycosidic linkage?

Which of the following is not an example of fibrous protein?

The value of {\cos ^3}\left( {{\pi \over 8}} \right){\cos}\left( {{3\pi \over 8}} \right)+{\sin ^3}\left( {{\pi \over 8}} \right){\sin}\left( {{3\pi \over 8}} \right) is :

If $$x=\sum _{n=0}^{\infty }{\left(-1\right)}^n{\tan }^{2n}\theta$$ and $$y=\sum _{n=0}^{\infty }{\cos }^{2n}\theta$$ for 0 < $$\theta$$ < {\pi \over 4}, then :

If the equation cos4 $$\theta$$ + sin4 $$\theta$$ + $$\lambda$$ = 0 has real solutions for $$\theta$$, then $$\lambda$$ lies in the interval :

If L = sin2\left( {{\pi \over {16}}} \right) - sin2\left( {{\pi \over {8}}} \right) and M = cos2\left( {{\pi \over {16}}} \right) - sin2\left( {{\pi \over {8}}} \right), then :

If A = \left[ {\matrix{ {\cos \theta } & {i\sin \theta } \cr {i\sin \theta } & {\cos \theta } \cr } } \right], \left( {\theta = {\pi \over {24}}} \right) and {A^5} = \left[ {\matrix{ a & b \cr c & d \cr } } \right], where $$i=\sqrt{-1}$$ then which one of the following is not true?

Suppose the vectors x1, x2 and x3 are the solutions of the system of linear equations, Ax = b when the vector b on the right side is equal to b1, b2 and b3 respectively. if $$x_1=\left[\text{matrix}1\text{cr}1\text{cr}1\text{cr}\right]$$, $$x_2=\left[\text{matrix}0\text{cr}2\text{cr}1\text{cr}\right]$$, $$x_3=\left[\text{matrix}0\text{cr}0\text{cr}1\text{cr}\right]$$ $$b_1=\left[\text{matrix}1\text{cr}0\text{cr}0\text{cr}\right]$$, $$b_2=\left[\text{matrix}0\text{cr}2\text{cr}0\text{cr}\right]$$ and $$b_3=\left[\text{matrix}0\text{cr}0\text{cr}2\text{cr}\right]$$, then the determinant of A is equal to :

If the system of equations x+y+z=2 2x+4y–z=6 3x+2y+$$\lambda$$z=$$\mu$$ has infinitely many solutions, then

If the minimum and the maximum values of the function f:\left[ {{\pi \over 4},{\pi \over 2}} \right] \to R, defined by f\left( \theta \right) = \left| {\matrix{ { - {{\sin }^2}\theta } & { - 1 - {{\sin }^2}\theta } & 1 \cr { - {{\cos }^2}\theta } & { - 1 - {{\cos }^2}\theta } & 1 \cr {12} & {10} & { - 2} \cr } } \right| are m and M respectively, then the ordered pair (m,M) is equal to :

Let $$\lambda \in$$ R . The system of linear equations 2x1 - 4x2 + $$\lambda$$x3 = 1 x1 - 6x2 + x3 = 2 $$\lambda$$x1 - 10x2 + 4x3 = 3 is inconsistent for:

If a + x = b + y = c + z + 1, where a, b, c, x, y, z are non-zero distinct real numbers, then \left| {\matrix{ x & {a + y} & {x + a} \cr y & {b + y} & {y + b} \cr z & {c + y} & {z + c} \cr } } \right| is equal to :

If the system of linear equations x + y + 3z = 0 x + 3y + k2z = 0 3x + y + 3z = 0 has a non-zero solution (x, y, z) for some k $$\in$$ R, then x + \left( {{y \over z}} \right) is equal to :

Let m and M be respectively the minimum and maximum values of \left| {\matrix{ {{{\cos }^2}x} & {1 + {{\sin }^2}x} & {\sin 2x} \cr {1 + {{\cos }^2}x} & {{{\sin }^2}x} & {\sin 2x} \cr {{{\cos }^2}x} & {{{\sin }^2}x} & {1 + \sin 2x} \cr } } \right| Then the ordered pair (m, M) is equal to :

The values of $$\lambda$$ and $$\mu$$ for which the system of linear equations x + y + z = 2 x + 2y + 3z = 5 x + 3y + $$\lambda$$z = $$\mu$$ has infinitely many solutions are, respectively:

Let \theta = {\pi \over 5} and A = \left[ {\matrix{ {\cos \theta } & {\sin \theta } \cr { - \sin \theta } & {\cos \theta } \cr } } \right]. If B = A + A4 , then det (B) :

Let A be a 3 $$\times$$ 3 matrix such that adj A = \left[ {\matrix{ 2 & { - 1} & 1 \cr { - 1} & 0 & 2 \cr 1 & { - 2} & { - 1} \cr } } \right] and B = adj(adj A). If |A| = $$\lambda$$ and |(B-1)T| = $$\mu$$ , then the ordered pair, (|$$\lambda$$|, $$\mu$$) is equal to :