KCET · Maths · Statistics
If the parabola \(x^{2}=4 a y\) passes through the point \((2,1)\), then the length of the latus rectum is
- A 1
- B 4
- C 2
- D 8
Answer & Solution
Correct Answer
(A) 1
Step-by-step Solution
Detailed explanation
Given parabola \(x^{2}=4 a y\)
It is passes through \((2,1)\)
\(\therefore \quad 4=4 a\)
\(\therefore\) Length of latus rectum of parabola \(x^{2}=4 a y\) is \(4 a\)
\(\therefore \quad 4 a=4\)
\(\therefore \quad a=1\)
It is passes through \((2,1)\)
\(\therefore \quad 4=4 a\)
\(\therefore\) Length of latus rectum of parabola \(x^{2}=4 a y\) is \(4 a\)
\(\therefore \quad 4 a=4\)
\(\therefore \quad a=1\)
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