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Given two curves, y = f(x) passing through (0, 1) and other 
passing through 
. If tangents at points with equal Abscissa on the two curves intersect on x-axis, then find the value of f(ln2).
passing through . If tangents at points with equal Abscissa on the two curves intersect on x-axis, then find the value of f(ln2).Correct answer is '2'. Can you explain this answer?
Verified Answer
Given two curves, y = f(x) passing through (0, 1) and otherpassing thr...
consider y1 = 
.......(i)
Equation of tangent is
similarly for other curve
⇒ but x intercept for both the tangents is same
.......(i)Equation of tangent is
similarly for other curve
⇒ but x intercept for both the tangents is same
∴ 
⇒
⇒ y2 = ky1 ....... (ii)
differentiating equation (ii)
⇒
⇒ 
⇒
⇒ 
Now , f(x) passes through (0, 1) ⇒ 1 = c
⇒
⇒ y2 = ky1 ....... (ii)
differentiating equation (ii)
⇒
⇒ ⇒
⇒ Now , f(x) passes through (0, 1) ⇒ 1 = c
⇒ 
Now, y2 passes through
Hence y1 = f(x) = e2x
Now, y2 passes through
Hence y1 = f(x) = e2x
Most Upvoted Answer
Given two curves, y = f(x) passing through (0, 1) and otherpassing thr...
consider y1 = 
.......(i)
Equation of tangent is
similarly for other curve
⇒ but x intercept for both the tangents is same
.......(i)Equation of tangent is
similarly for other curve
⇒ but x intercept for both the tangents is same
∴ 
⇒
⇒ y2 = ky1 ....... (ii)
differentiating equation (ii)
⇒
⇒ 
⇒
⇒ 
Now , f(x) passes through (0, 1) ⇒ 1 = c
⇒
⇒ y2 = ky1 ....... (ii)
differentiating equation (ii)
⇒
⇒ ⇒
⇒ Now , f(x) passes through (0, 1) ⇒ 1 = c
⇒ 
Now, y2 passes through
Hence y1 = f(x) = e2x
Now, y2 passes through
Hence y1 = f(x) = e2x
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Given two curves, y = f(x) passing through (0, 1) and otherpassing through. If tangents at points with equal Abscissa on the two curves intersect on x-axis, then find the value of f(ln2).Correct answer is '2'. Can you explain this answer?
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Given two curves, y = f(x) passing through (0, 1) and otherpassing through. If tangents at points with equal Abscissa on the two curves intersect on x-axis, then find the value of f(ln2).Correct answer is '2'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Given two curves, y = f(x) passing through (0, 1) and otherpassing through. If tangents at points with equal Abscissa on the two curves intersect on x-axis, then find the value of f(ln2).Correct answer is '2'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given two curves, y = f(x) passing through (0, 1) and otherpassing through. If tangents at points with equal Abscissa on the two curves intersect on x-axis, then find the value of f(ln2).Correct answer is '2'. Can you explain this answer?.
Given two curves, y = f(x) passing through (0, 1) and otherpassing through. If tangents at points with equal Abscissa on the two curves intersect on x-axis, then find the value of f(ln2).Correct answer is '2'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Given two curves, y = f(x) passing through (0, 1) and otherpassing through. If tangents at points with equal Abscissa on the two curves intersect on x-axis, then find the value of f(ln2).Correct answer is '2'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given two curves, y = f(x) passing through (0, 1) and otherpassing through. If tangents at points with equal Abscissa on the two curves intersect on x-axis, then find the value of f(ln2).Correct answer is '2'. Can you explain this answer?.
Solutions for Given two curves, y = f(x) passing through (0, 1) and otherpassing through. If tangents at points with equal Abscissa on the two curves intersect on x-axis, then find the value of f(ln2).Correct answer is '2'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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Given two curves, y = f(x) passing through (0, 1) and otherpassing through. If tangents at points with equal Abscissa on the two curves intersect on x-axis, then find the value of f(ln2).Correct answer is '2'. Can you explain this answer?, a detailed solution for Given two curves, y = f(x) passing through (0, 1) and otherpassing through. If tangents at points with equal Abscissa on the two curves intersect on x-axis, then find the value of f(ln2).Correct answer is '2'. Can you explain this answer? has been provided alongside types of Given two curves, y = f(x) passing through (0, 1) and otherpassing through. If tangents at points with equal Abscissa on the two curves intersect on x-axis, then find the value of f(ln2).Correct answer is '2'. Can you explain this answer? theory, EduRev gives you an
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