Download App

STD 12 - 10. vector algebra — Mathematics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceMathematicsSTD 12 - 10. vector algebra1 Mark
MCQ
If $|a|\, = a$ and $|b|\, = b,$ then ${\left( {\frac{a}{{{a^2}}} - \frac{b}{{{b^2}}}} \right)^2} = $
  • A
    ${\left( {\frac{{a + b}}{{ab}}} \right)^2}$
  • B
    $\frac{{{{(a - b)}^2}}}{{ab}}$
  • ✓
    ${\left( {\frac{{a - b}}{{ab}}} \right)^2}$
  • D
    $\frac{{{{(a + b)}^2}}}{{ab}}$
✓

Answer

Correct option: C.
${\left( {\frac{{a - b}}{{ab}}} \right)^2}$
c
(c) ${\left( {\frac{a}{{{a^2}}} - \frac{b}{{{b^2}}}} \right)^2} = \frac{{{a^2}}}{{{a^4}}} + \frac{{{b^2}}}{{{b^4}}} - \frac{{2a\,.\,b}}{{{a^2}{b^2}}}$,{$\because $ $a^2 = a^2$ etc.}

$ = \frac{{{a^2} + {b^2} - 2a\,.\,b}}{{{a^2}{b^2}}} = {\left( {\frac{{a - b}}{{ab}}} \right)^2}.$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from STD 12 - 10. vector algebra→STD 12 - 10. vector algebra — all question types→Mathematics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

If $f (1) = 1, f ' (1) = 3$ , then the derivative of $f\left( {f\left( {f\left( x \right)} \right)} \right) + \left( {f{{\left( x \right)}^2}} \right)$ at $x = 1$ is
→
Choose the correct answer in Exercises:
$\int\frac{10\text{x}^9+10^{\text{x}}\log_\text{e}10}{\text{x}^{10}+10^{\text{x}}}\text{ equals}$
→
A coin is tossed 10 times. The probability of getting exactly six heads is:
→
If $\left[ {\begin{array}{*{20}{c}}1&2&3\\3&1&2\\2&3&1\end{array}} \right]\,\left[ \begin{array}{l}x\\y\\z\end{array} \right] = \left[ {\begin{array}{*{20}{c}}4&{ - 2}\\0&{ - 6}\\{ - 1}&2\end{array}} \right]\,\left[ \begin{array}{l}2\\1\end{array} \right]$, then $(x,y,z)$=
→
If $A=\left[\begin{array}{cc}8 & 0 \\ 4 & -2 \\ 3 & 6\end{array}\right]$ and $B=\left[\begin{array}{cc}2 & -2 \\ 4 & 2 \\ -5 & 1\end{array}\right],$ then find the matrix $X$, such that $2 \mathrm{A}+3 \mathrm{X}=5 \mathrm{B}$.
→
$\int_{}^{} {\frac{{\sin x}}{{\sin (x - \alpha )}}dx = } $
→
If the angle between the lines, $\frac{x}{2} = \frac{y}{2} = \frac{z}{1}$ and $\frac{{5 - x}}{{ - 2}} = \frac{{7y - 14}}{p} = \frac{{z - 3}}{4}$  is ${\cos ^{ - 1}}\,\left( {\frac{2}{3}} \right),$  then $p$  is equal to
→
The points with position vectors $60\,i + 3\,j$, $40\,i - 8j,$ $a\,i - 52\,j$ are collinear, if $a = $
→
Matrix $A$ satisfies $A^2 = 2A - I$ where $I$ is the identity matrix then for $n \ge 2$, $A^n$ is equal to $(n \in N)$
→
Let $f$ be an injective map with domain $\{x, y, z\}$ and range $\{1, 2, 3\},$ such that exactly one of the following statements is correct and the remaining are false.$\text{f(x)}=1,\ \text{f(y)}\neq1,\ \text{f(z)}\neq2.$ The value of $f^{-1}(1)$ is:
→