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10.2 parabola,ellipse,hyperbola — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS10.2 parabola,ellipse,hyperbola1 Mark
MCQ
Equation $\sqrt {{{(x - 2)}^2} + {y^2}} + \sqrt {{{(x + 2)}^2} + {y^2}} = 4$ represents
  • A
    Parabola
  • B
    Ellipse
  • C
    Circle
  • ✓
    Pair of straight lines
✓

Answer

Correct option: D.
Pair of straight lines
d
(d) Given equation is , $\sqrt {{{(x - 2)}^2} + {y^2}} + \sqrt {{{(x + 2)}^2} + {y^2}} = 4$

$\sqrt {{{(x - 2)}^2} + {y^2}} = 4 - \sqrt {{{(x - 2)}^2} + {y^2}} $

Squaring both sides, we get $\sqrt {{{(x + 2)}^2} + {y^2}} = x + 2$

Again squaring both sides, we get ${y^2} = 0$, which is the equation of pair of straight lines.

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