The two curves y = 3 x and y = 5 x intersect at an angle
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
The two curves y = 3x and y = 5x intersect at an angle
- \(\tan ^{-1}\left(\frac{\log 5-\log 3}{1+\log 3 \cdot \log 5}\right)\)
- \(\tan ^{-1}\left(\frac{\log 3+\log 5}{1-\log 3 \cdot \log 5}\right)\)
- \(\tan ^{-1}\left(\frac{\log 3+\log 5}{1+\log 3 \cdot \log 5}\right)\)
- none of these
Answer
(A) ^ -1 ( 5- 3 1+ 3 5 )
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If u= ( x^ 2 +y^ 2 x+y ) , then the value of x L x +y L y is:
- A tangent to the curve y = 1 – x 2 is drawn so that the abscissa x 0 of the point of tangency belongs to the…
- If a, b, c are real, then f(x)= | array ccc x+a^ 2 & a b & a c a b & x+b^ 2 & b c a c & b c & x+c^ 2 array |…
- The set of points where the function f (x) = [x] + |1 – x|, –1 ≤ x ≤ 3 where [.] denotes the greatest integer…
- Assertion : The equation 3x 2 + 4ax + b = 0 has at least one root in (0, 1), if 3 + 4a = 0 . Reason : f (x) =…
- Find the fraction which exceeds its n th power by the greatest possible number (n > 1).
- If y = (1 + x 2 ) tan –1 x – x, then dy dx is equal to
- Assertion : The tangent at x = 1 to the curve y = x 3 – x 2 – x + 2 again meets the curve at x = – 2 . Reason…
More Limit, Continuity and Differentiability questions · Browse all practice questions