Download App

STD 11 - 9. straight line — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSTD 11 - 9. straight line1 Mark
MCQ
A straight the through a fixed point $(2, 3)$ intersects the coordinate axes at distinct points $P$ and $Q.$ If $O$ is the origin and the rectangle $OPRQ$ is completed, then the locus of $R$ is:
  • A
    $2x + 3y = xy$
  • ✓
    $3x + 2y = xy$
  • C
    $3x + 2y = 6xy$
  • D
    $3x + 2y = 6$.
✓

Answer

Correct option: B.
$3x + 2y = xy$
b
Equation of $PQ$ is 

$\frac{x}{h} + \frac{y}{k} = 1\,\,\,\,\,\,\,......\left( 1 \right)$

Since, $(1)$ passes through the fixed point $(2,3)$ Then,

$\frac{2}{h} + \frac{3}{k} = 1\,$

Then, the locus of $R$ is $\frac{2}{x} + \frac{3}{y} = 1$ or $3x + 2y = xy$.

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 11 - 9. straight line→STD 11 - 9. straight line — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

If $\left| {\begin{array}{*{20}{c}}{{x_1}}&{{y_1}}&1\\{{x_2}}&{{y_2}}&1\\{{x_3}}&{{y_3}}&1\end{array}} \right| = \left| {\begin{array}{*{20}{c}}{{a_1}}&{{b_1}}&1\\{{a_2}}&{{b_2}}&1\\{{a_3}}&{{b_3}}&1\end{array}} \right|$, then the two triangle with vertices $({x_1},{y_1}),\,({x_2},{y_2}),\,$ $({x_3},{y_3})$ and $({a_1},{b_1}),\,$ $\,({a_2},{b_2}),$ $({a_3},{b_3})$ must be
→
If ${\left( {\frac{{1 + i}}{{1 - i}}} \right)^x} = 1,$ then
→
The equation of a line that passes through the points $(1, 5)$ and $(2, 3)$ is:
→
If the co $-$ efficient of $x$ in $\Big(\text{x}^2+\frac{\lambda}{\text{x}}\Big)^5$is $270$, then $ \lambda=$
→
One root of the following given equation $2{x^5} - 14{x^4} + 31{x^3} - 64{x^2} + 19x + 130 = 0$ is
→
If $ \text{aN} = \frac{\text{ax}}{\text{x}\in\text{N}}$ and $\text{bN}\cap\text{cN}=\text{d}\text{N}$ Where $ \text{b}, \text{c }\in\text{ N}$
→
The value of ${\cos ^2}\,{10^o}\,\, - \,\cos \,\,{10^o}\,\cos \,\,{50^o}\, + \,{\cos ^2}\,{50^o}$ is
→
The coordinates of the focus of the parabola $y^2- x - 2y + 2 = 0$ are
→
If $a, b, c$ are in $G.P.$ is $2$ and $x, y$ are $AM's$ between $a, b$ and $b, c$ respectively, then:
→
The number of ways in which an examiner can assign $30$ marks to $8$ questions, giving not less than $2$ marks to any question, is
→