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AP EAMCET · Maths · Parabola

Suppose a parabola passes through 0,4,1,9 and 4,5 and has its axis parallel to the y-axis. Then the equation of the parabola is

  1. A 19x2+12y-79x-48=0
  2. B 19x2+12y-79x+48=0
  3. C 19y2+12x-79y-48=0
  4. D 19y2+12x-79y+48=0
Verified Solution

Answer & Solution

Correct Answer

(A) 19x2+12y-79x-48=0

Step-by-step Solution

Detailed explanation

Let the equation of parabola be y=ax2+bx+c Now given it passes through 0,4, 1,9 & 4,5, Now on satisfying these points we get, 4=0+0+c .......1 9=a+b+4 ......2 as c=4 5=16a+4b+4 .....3 Now solving equation equation 2 & 3…
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