Assertion : The tangent at x = 1 to the curve y = x 3 – x 2 – x + 2 again meets the curve…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Assertion : The tangent at x = 1 to the curve
y = x3 – x2 – x + 2 again meets the curve at x = – 2 .
Reason : When a equation of a tangent solved with the curve, repeated roots are obtained at point of tangency.
y = x3 – x2 – x + 2 again meets the curve at x = – 2 .
Reason : When a equation of a tangent solved with the curve, repeated roots are obtained at point of tangency.
- If Assertion is true, Reason is true, Reason is a correct explanation for Assertion.
- If Assertion is true, Reason is true, Reason is not a correct explanation for Assertion.
- If Assertion is true, Reason is false.
- If Assertion is false, Reason is true.
Answer
(D) If Assertion is false, Reason is true.
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Find the value of a for which the function f (x) = x 2 - 2ax + 6 is strictly increasing when x > 0.
- The greatest value of f (x) = (x +1) 1/3 – (x –1) 1/3 on [0, 1] is :
- Assertion : for any triangle ABC sin ( A+B+C 3 ) A+ B+ C 3 Reason : y = sin x is concave downward for x ∈ (0…
- Assertion : The ratio of length of tangent to length of normal is directly proportional to the ordinate of…
- The set of all points, where the function f( x )= x 1+| x | is differentiable, is
- Let II and be the distinct roots of a ^ 2 + b + c = 0 , then _ x 1- [a x^ 2 +b x+c ] (x-a)^ 2 is equal to :
- Consider the following statements S and R : S : Both sin x and cos x are decreasing functions in the interval…
- A curve passes through the point (2, 0) and the slope of the tangent at any point (x, y) is x 2 – 2x for all…
More Limit, Continuity and Differentiability questions · Browse all practice questions