AP EAMCET · Maths · Parabola
A point on the parabola whose axis is parallel to the \(\mathrm{X}\)-axis and which passes through the points \((0,1),(3,0),(0,-2)\) is
- A \((3,-1)\)
- B \((2,-3)\)
- C \((3,2)\)
- D \((-2,2)\)
Answer & Solution
Correct Answer
(A) \((3,-1)\)
Step-by-step Solution
Detailed explanation
Equation of parabola: \( x = ay^2 + by + c \) Using points: \( (0,1) \Rightarrow a + b + c = 0 \) \( (3,0) \Rightarrow c = 3 \) \( (0,-2) \Rightarrow 4a - 2b + c = 0 \) Substituting \( c=3 \): \( a + b + 3 = 0 \Rightarrow b = -3 - a \) \( 4a - 2(-3-a) + 3 = 0 \)…
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