Download App

STD 11 - 10.2 parabola,ellipse,hyperbola — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSTD 11 - 10.2 parabola,ellipse,hyperbola1 Mark
MCQ
The equation ${y^2} - {x^2} + 2x - 1 = 0$ represents
  • A
    A hyperbola
  • B
    An ellipse
  • ✓
    A pair of straight lines
  • D
    A rectangular hyperbola
✓

Answer

Correct option: C.
A pair of straight lines
c
(c) Given equation is ${y^2} - {x^2} + 2x - 1 = 0$

Comparing the given equation with

$a{x^2} + 2hxy + b{y^2} + 2gx + 2fy + c = 0$

We get, $a = 1$, $h = 0$, $b = 1$, $g = 1$, $f = 0$, $c = - 1$

$\therefore $ $\Delta = abc + 2fgh - a{f^2} - b{g^2} - c{h^2}$

$\Delta = 1 + 0 + 0 - 1 = 0$

Hence, the given equation represents two straight lines.

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 - 10.2 parabola,ellipse,hyperbola→STD 11 - 10.2 parabola,ellipse,hyperbola — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

If the line $x + 2by + 7 = 0$ is a diameter of the circle ${x^2} + {y^2} - 6x + 2y = 0$, then $b = $
→
If $A + B = 225^\circ ,$ then $\frac{{\cot A}}{{1 + \cot A}}.\frac{{\cot B}}{{1 + \cot B}} = $
→
The radius of the circle passing through the point $(6, 2)$ and two of whose diameters are $x + y = 6$ and $x+2y = 4$ is:
→
Find the mean of first six natural numbers:
→
The general value of $\theta $ satisfying the equation $\tan \theta + \tan \left( {\frac{\pi }{2} - \theta } \right) = 2$, is
→
If $z = 3 - 4i$, then ${z^4} - 3{z^3} + 3{z^2} + 99z - 95$ is equal to
→
The expression $(1 + \tan x + {\tan ^2}x)$ $(1 - \cot x + {\cot ^2}x)$ has the positive values for $x$, given by
→
The equation circle whose center is $(0, 0)$ and radius is $4$ is:
→
The differential equation $\frac{{dx}}{{dy}}= \frac{{3y}}{{2x}}$ represents a family of hyperbolas (except when it represents a pair of lines) with eccentricity :
→
Choose the correct answer. The mean deviation of the data $3, 10, 10, 4, 7, 10, 5$ from the mean is:
→