The shortest distance between the line y = x and the curve y2 = x − 2 is
(a)
(b)
(c)
2
(d)
The shortest distance between the line y = x and the curve y2 = x − 2 is
(a)
(b)
(c)
2
(d)
Question ID - 57523 | SaraNextGen Top Answer
The shortest distance between the line y = x and the curve y2 = x − 2 is
(a)
(b)
(c)
2
(d)
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The shortest distance between the line y = x and the curve y2 = x − 2 is |
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(a) |
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(b) |
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(c) |
2 |
(d) |
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1 Answer
127 votes
Answer Key / Explanation : (d) -
The shortest distance between line y = x and parabola = the distance between line y = x and tangent of parabola having slope 1.
Let equation of tangent of parabola having slope 1 is,
y = m(x − 2) + 
where m = 1 and a = 
Equation of tangent y = x − 
Distance between the line y = x and the tangent
= 
127 votes
Answer Link
127