Class XII ISC Chapter Continuity and Differentiability
Explore our extensive collection of Continuity and Differentiability questions, tailored for class 12 students following the ISC curriculum. This topic is vital for understanding how to optimize a particular outcome given certain constraints. Our practice questions cover various aspects of Linear Programming, including formulating linear inequalities, graphical methods, and finding optimal solutions. Whether you're looking to strengthen your problem-solving skills or prepare for your exams, these questions provide the perfect resource to master Continuity and Differentiability concepts with ease.
class 12 C&D exercise5-12
Continuity & Differentiability
Select Exercise
Q5 - x = a sin3 t, y = a cos3t
- x = a (θ + sin θ), y = a (1 - cos θ)
- x = a (1 - cos θ), y = a (θ + sin θ)
Q6 - x = et(sin t + cos t), y = et (sin t - cos t)
- x = a (θ + sin θ), y = a (1 - cos θ)
- x = a (1 - cos θ), y = a (θ + sin θ)
- x = 1+log t / t2 ,y= 3+2log t / t
- x = 3 cos θ -2 cos3θ,y=3sinθ-2 sin3 θ
1+log t / t2
,y= 3+2log t / t
Q7 - If x= 2 cost - cos2t and y = 2 sin t - sin 2t, find dy / dx at t= π / 4
- If x= 3 sint - sin3t and y = 3 cost - cos 3t, find dy / dx at t= π / 3
- If x= 2bt / 1+t2 and y= a(1-t2) / 1+t2 ,find dy / dx at t=2
dy / dx
at t= π / 4
dy / dx
at t= π / 3
2bt / 1+t2
and y= a(1-t2) / 1+t2
,find dy / dx
at t=2
Q9 - Differentiate sin-1 ( 2x / 1+x2 ) w.r.t.tan-1x
- Differentiate tan-1 ( 2x / 1-x2 ) w.r.t.tan-1x
2x / 1+x2
) w.r.t.tan-1x 2x / 1-x2
) w.r.t.tan-1x
Q11 - Differentiate sin-1 ( 2x / 1+x2 ) w.r.t.cos-1 1-x2 / 1+x2
- Differentiate tan-1 3x-x3 / 1-3x2 w.r.t.tan-1 2x / 1-x2
2x / 1+x2
) w.r.t.cos-1 1-x2 / 1+x2
3x-x3 / 1-3x2
w.r.t.tan-1 2x / 1-x2
Q12 - Differentiate tan-1 ( √1+x2 -1 / x ) w.r.t.tan-1x
- Differentiate tan-1 ( √1-x2 / x ) w.r.t.cos-1 (2x√1-x2)
√1+x2 -1 / x
) w.r.t.tan-1x √1-x2 / x
) w.r.t.cos-1 (2x√1-x2)