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TS EAMCET · Maths · Parabola

Match the items given in List-A with those of the items of List-B
  List-A   List-B
(A) The vertex of the parabola y2+4x-2y+3=0 is (I) 54,1
(B) The vertex of the parabola x2+8x+12y+4=0 is (II) 1,54
(C) The focus of the parabola y2-x-2y+2=0 is (III) -12,1
(D) The focus of the parabola x2-2x-8y-23=0 is (IV) 1,-1
    (V) -4, 1
The correct match is

  1. A
    A B C D
    III V II IV
  2. B
    A B C D
    V II I IV
  3. C
    A B C D
    III II I IV
  4. D
    A B C D
    III V I IV
Verified Solution

Answer & Solution

Correct Answer

(D)

A B C D
III V I IV

Step-by-step Solution

Detailed explanation

A. Given equation of parabola is y2+4x-2y+3=0 By adding and subtracting one y2+4x-2y+3+1-1=0 y-12=-4x+2 y-12=-4x+12 Hence, vertex of parabola is -12,1 B. Given, the equation of parabola, x2+8x+12y+4=0 By adding and subtracting 16 x2+8x+16+12y+4-16=0 x+42+12y-1=0 x+42=-12y-1…