The given points are \(\begin{array}{l}\mathrm{A}(2,1,3),\mathrm{B}(-4,3,-1)\\ \overrightarrow{\mathrm{b}}=-4 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}-\hat{\mathrm{k}}\\ \mathrm{A}=\overrightarrow{\mathrm{a}}=2 \hat{\mathrm{i}}+\hat{\mathrm{j}}+3 \hat{\mathrm{k}}\\ \text { The normal vector can be calculated by}\\... View Article
The given integral is \(\begin{array}{l}\text { I }=\int \frac{1}{(\sin x-2 \cos x)(2 \sin x+\cos x)} d x\\ \Rightarrow \int \frac{1}{(\sin... View Article
The shortest distance is calculated as follows. \(\begin{array}{l}\quad s=\sqrt{(x-0)^{2}+(y-c)^{2}}=\sqrt{x^{2}+(y-c)^{2}}\\ \Rightarrow s=\sqrt{y+(y-c)^{2}} \quad\left[y=x^{2}\right]\\ \Rightarrow \frac{d s}{d y}=\frac{1}{2 \sqrt{y+(y-c)^{2}}}[1+2(y-c)]=\frac{2 y+(1-2 c)}{2 \sqrt{y+(y-c)^{2}}}\\... View Article
36 = 22 × 32 84 = 22 × 3 × 7 HCF = 22 × 3 = 12 LCM... View Article
Required number = 1,00,00,000 – 5643879= 43561215643879 is smaller than one crore by 4356121.
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42Multiples of 4: 4,... View Article
The given expression is as follows. \(\begin{array}{l}10-3 \mathrm{~b}-4-5 \mathrm{~b}=-3 \mathrm{~b}-5 \mathrm{~b}+10-4 \\ =-8 \mathrm{~b}+6 \\ =-8(-2)+6 \ [\text {Putting }... View Article
(I)\(\begin{array}{l} (2a – 3b)^{3} \end{array} \) \(\begin{array}{l} \Rightarrow 8a^{3} + 27b^{3} – 18ab(2a – 3b) \end{array} \) \(\begin{array}{l} \Rightarrow 8a^{3}... View Article
The answer is high and low Air moves from a region of high pressure to a region of low pressure.... View Article
The highest oxidation state of a metal is exhibited in its oxide or fluoride only. This is because fluorine (F)... View Article
MPC – Marginal propensity to consume It is defined as the change in consumption per unit change in income. MPC... View Article
The answer is Expense of business Discount allowed is expense of business Explore more such questions and answers at BYJU’S.
The headquarters of Securities and Exchange Board of India(SEBI) are located in Mumbai. Its regional office is not located at... View Article
The correct answer is (B) Statement 1 Is False, Statement 2 Is True. Sum of first n even natural numbers... View Article
Sol: Given: \(\begin{array}{l} x^{2} – 4x + 1 = 0 \end{array} \) \(\begin{array}{l} \Rightarrow (x-2)^{2} – 4 + 1 =... View Article
The correct answer is (C) More Honest. He is very honest. He is more honest than David. Explore more such... View Article
The correct answer is (A) 5Loge2. As given: t = 5 min \(\begin{array}{l}N = \frac{N_{o}}{e} \end{array} \) Therefore, the equation... View Article
The above given statement is true. Monel metal is a group of nickel alloys, which comprises an alloy of Cu,... View Article
The correct answer is B. (1) And (3). A reaction in which energy is released in the form of light... View Article
As given: Total shares = $1000 The Ratio 8:7:5. Let the common factor be x Share of Ahmed be 8x... View Article
