The given expression is \(\begin{array}{l}\sqrt{-x^{2}+10 x-16}<x-2\\ -\mathbf{x}^{2}+\mathbf{1 0 x}-\mathbf{1 6} \geq \mathbf{0}\\ x^{2}-10 x+16 \leq 0\\ (x-2)(x-8) \leq 0\\ \mathrm{x}... View Article
The principal value of tan-1 (- √3) is as follows. \(\begin{array}{l}=\tan ^{-1}\left(-\tan \frac{\pi}{3}\right)\\ \tan (-\theta)=-\tan \theta\\ =\tan ^{-1}\left(\tan \left(-\frac{\pi}{3}\right)\right)\\ =-\frac{\pi}{3}\end{array}... View Article
i] Five crores six lakhs forty five thousand seventy five ii] Twelve crores thirty six lakhs ninety nine thousand one... View Article
3 : 1 Total part = 3 + 1 = 4 Fractional part = (3 / 4) : (1 /... View Article
Let the wickets taken by him before the match be X. The bowling average is given to be 12.4. Total... View Article
The given expression can be written as \(\begin{array}{l}\begin{array} \text x^{2}-9 x+ 18=x^{2}-6 x-3 x+18 \\ =x^{2}-6 x-3 x+3 \times 6... View Article
Arranging the given data in ascending order. \(\begin{array}{l}40,54,62,68,76,90\\ \mathbf{n}=\mathbf{6} (even)\\ \mathrm{M}=\frac{\text { value of } 3^{\mathrm{rd}} \text { observation }+\text... View Article
(1 / 3) = 0.333333 The block of the digit, repeating in the quotient is 3.
(1 – x)-2 = 1 + 2x + 3x2 + . . . + (n + 1) xn + .... View Article
The approximate value of 1e is 2.718.
Let the first number be 2x and the second number will be 5x. According to question 5x – 2x =... View Article
5929 = 7 × 7 × 11 × 11 ⇒ √5929 = √7 × 7 × 11 × 11 =... View Article
V − E + F = 2 V = number of vertices = ? E = number of edges =... View Article
p (n) = 1 + 2 + 3 + … … + n \(\begin{array}{l}\mathbf{p}(1)=1=\frac{\mathbf{1 \cdot}(\mathbf{1}+\mathbf{1})}{\mathbf{2}}=\mathbf{1}\\ \mathbf{p}(\mathbf{1}) \text \ is \... View Article
The given expression is sin-1 (sin 2). \(\begin{array}{l}\Rightarrow \sin ^{-1}(\sin \theta)=\theta, \text { If }\left(-\frac{\pi}{2} \leq \theta \leq \frac{\pi}{2}\right) \\... View Article
Natural numbers are also known as counting numbers.
By Euclid’s division algorithm a = bm + r, where 0 ≤ r ≤ b Put b = 5 a... View Article
The multiplicative inverse of 6 is 1 / 6.
Consider \(\begin{array}{l}\begin{array}{l} p=\sqrt{\frac{1-\sin x}{1+\sin x}} \\ =\sqrt{\frac{1-\sin x}{1+\sin x} \times \frac{1-\sin x}{1+\sin x}} \\ =\sqrt{\frac{(1-\sin x)^{2}}{1-\sin ^{2} x}} \\ =\sqrt{\frac{(1-\sin... View Article
The answer for the riddle where does today come before yesterday is in a dictionary.
