NCERT Class 12 Maths
Chapter 5: Continuity And Differentiability
11 Questions Solved
NCERT Solutions for Class 12 Maths Chapter 5 Continuity And Differentiability — Exercise 5.6
Click any question below for its step-by-step NCERT textbook solution, concept hints, and worked explanation.
Question 1
Without eliminating parameter t (θ in the trigonometric source forms), find dy/dx for x=\(2 a t^{2}\), y=\(a t^{4}\).
Question 2
Without eliminating parameter t (θ in the trigonometric source forms), find dy/dx for x=\(a \cos{\left(t \right)}\), y=\(b…
Question 3
Without eliminating parameter t (θ in the trigonometric source forms), find dy/dx for x=\(\sin{\left(t \right)}\), y=\(\cos{\left(2 t…
Question 4
Without eliminating parameter t (θ in the trigonometric source forms), find dy/dx for x=\(4 t\), y=\(\frac{4}{t}\).
Question 5
Without eliminating parameter t (θ in the trigonometric source forms), find dy/dx for x=\(\cos{\left(t \right)} - \cos{\left(2 t…
Question 6
Without eliminating parameter t (θ in the trigonometric source forms), find dy/dx for x=\(a \left(t - \sin{\left(t \right)}\right)\)…
Question 7
Without eliminating parameter t (θ in the trigonometric source forms), find dy/dx for x=\(\frac{\sin^{3}{\left(t…
Question 8
Without eliminating parameter t (θ in the trigonometric source forms), find dy/dx for x=\(a \left(\log{\left(\tan{\left(\frac{t}{2}…
Question 9
Without eliminating parameter t (θ in the trigonometric source forms), find dy/dx for x=\(a \sec{\left(t \right)}\), y=\(b…
Question 10
Without eliminating parameter t (θ in the trigonometric source forms), find dy/dx for x=\(a \left(t \sin{\left(t \right)} +…
Question 11
If x=√(a^(sin⁻¹t)), y=√(a^(cos⁻¹t)), show dy/dx=−y/x.