TS EAMCET · Maths · Parabola
If is the equation of a parabola with focus and directrix then represents
- A two lines making an angle at origin
- B a conic with eccentricity
- C two perpendicular lines
- D two coincident lines
Answer & Solution
Correct Answer
(D) two coincident lines
Step-by-step Solution
Detailed explanation
For parabola, PS=PN ⇒x-22+y+32=3x-2y+532+-22 ⇒13x2-4x+4+y2+6y+9=9x2+4y2+25-12xy-20y+30x ⇒4x2+9y2+12xy-82x+98y+144=0 Comparing with given parabola a=4, b=9, h=-6 Now, 4x2-12xy+9y2=0 ⇒2x-3y2=0 It represents two coincident lines.
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