Simple Problems
Application of Derivatives

85802 If the curves \(2 x=y^{2}\) and \(2 x y=K\) intersect perpendicularly, then the value of \(K^{2} i\)

1 \(2 \sqrt{2}\)
2 2
3 8
4 4
Application of Derivatives

85803 The value of \(\sqrt{24.99} \mathrm{i}\)

1 4.999
2 5.001
3 4.899
4 4.897
Application of Derivatives

85804 If a circular plate is heated uniformly, its area expands \(3 \mathrm{c}\) times as fast as its radius, then the value of \(c\) when the radius is 6 units, \(i\)

1 \(4 \pi\)
2 \(2 \pi\)
3 \(6 \pi\)
4 \(3 \pi\)
Application of Derivatives

85805 The fuel charges for running a train are proportional to the square of the speed generated in miles per hour and costs \(₹ 48\) per hour at 16 miles per hour. The most economical speed if the fixed charges i.e. salaries etc. amount to \(₹ \mathbf{3 0 0}\) per hour \(i\)

1 10
2 20
3 30
4 40
Application of Derivatives

85806 If \(0\lt x\lt \frac{\pi}{2}\), then

1 \(\tan x\lt x\lt \sin x\)
2 \(x\lt \sin x\lt \tan x\)
3 \(\sin x\lt \tan x\lt x\)
4 None of these
Application of Derivatives

85802 If the curves \(2 x=y^{2}\) and \(2 x y=K\) intersect perpendicularly, then the value of \(K^{2} i\)

1 \(2 \sqrt{2}\)
2 2
3 8
4 4
Application of Derivatives

85803 The value of \(\sqrt{24.99} \mathrm{i}\)

1 4.999
2 5.001
3 4.899
4 4.897
Application of Derivatives

85804 If a circular plate is heated uniformly, its area expands \(3 \mathrm{c}\) times as fast as its radius, then the value of \(c\) when the radius is 6 units, \(i\)

1 \(4 \pi\)
2 \(2 \pi\)
3 \(6 \pi\)
4 \(3 \pi\)
Application of Derivatives

85805 The fuel charges for running a train are proportional to the square of the speed generated in miles per hour and costs \(₹ 48\) per hour at 16 miles per hour. The most economical speed if the fixed charges i.e. salaries etc. amount to \(₹ \mathbf{3 0 0}\) per hour \(i\)

1 10
2 20
3 30
4 40
Application of Derivatives

85806 If \(0\lt x\lt \frac{\pi}{2}\), then

1 \(\tan x\lt x\lt \sin x\)
2 \(x\lt \sin x\lt \tan x\)
3 \(\sin x\lt \tan x\lt x\)
4 None of these
Application of Derivatives

85802 If the curves \(2 x=y^{2}\) and \(2 x y=K\) intersect perpendicularly, then the value of \(K^{2} i\)

1 \(2 \sqrt{2}\)
2 2
3 8
4 4
Application of Derivatives

85803 The value of \(\sqrt{24.99} \mathrm{i}\)

1 4.999
2 5.001
3 4.899
4 4.897
Application of Derivatives

85804 If a circular plate is heated uniformly, its area expands \(3 \mathrm{c}\) times as fast as its radius, then the value of \(c\) when the radius is 6 units, \(i\)

1 \(4 \pi\)
2 \(2 \pi\)
3 \(6 \pi\)
4 \(3 \pi\)
Application of Derivatives

85805 The fuel charges for running a train are proportional to the square of the speed generated in miles per hour and costs \(₹ 48\) per hour at 16 miles per hour. The most economical speed if the fixed charges i.e. salaries etc. amount to \(₹ \mathbf{3 0 0}\) per hour \(i\)

1 10
2 20
3 30
4 40
Application of Derivatives

85806 If \(0\lt x\lt \frac{\pi}{2}\), then

1 \(\tan x\lt x\lt \sin x\)
2 \(x\lt \sin x\lt \tan x\)
3 \(\sin x\lt \tan x\lt x\)
4 None of these
Application of Derivatives

85802 If the curves \(2 x=y^{2}\) and \(2 x y=K\) intersect perpendicularly, then the value of \(K^{2} i\)

1 \(2 \sqrt{2}\)
2 2
3 8
4 4
Application of Derivatives

85803 The value of \(\sqrt{24.99} \mathrm{i}\)

1 4.999
2 5.001
3 4.899
4 4.897
Application of Derivatives

85804 If a circular plate is heated uniformly, its area expands \(3 \mathrm{c}\) times as fast as its radius, then the value of \(c\) when the radius is 6 units, \(i\)

1 \(4 \pi\)
2 \(2 \pi\)
3 \(6 \pi\)
4 \(3 \pi\)
Application of Derivatives

85805 The fuel charges for running a train are proportional to the square of the speed generated in miles per hour and costs \(₹ 48\) per hour at 16 miles per hour. The most economical speed if the fixed charges i.e. salaries etc. amount to \(₹ \mathbf{3 0 0}\) per hour \(i\)

1 10
2 20
3 30
4 40
Application of Derivatives

85806 If \(0\lt x\lt \frac{\pi}{2}\), then

1 \(\tan x\lt x\lt \sin x\)
2 \(x\lt \sin x\lt \tan x\)
3 \(\sin x\lt \tan x\lt x\)
4 None of these
Application of Derivatives

85802 If the curves \(2 x=y^{2}\) and \(2 x y=K\) intersect perpendicularly, then the value of \(K^{2} i\)

1 \(2 \sqrt{2}\)
2 2
3 8
4 4
Application of Derivatives

85803 The value of \(\sqrt{24.99} \mathrm{i}\)

1 4.999
2 5.001
3 4.899
4 4.897
Application of Derivatives

85804 If a circular plate is heated uniformly, its area expands \(3 \mathrm{c}\) times as fast as its radius, then the value of \(c\) when the radius is 6 units, \(i\)

1 \(4 \pi\)
2 \(2 \pi\)
3 \(6 \pi\)
4 \(3 \pi\)
Application of Derivatives

85805 The fuel charges for running a train are proportional to the square of the speed generated in miles per hour and costs \(₹ 48\) per hour at 16 miles per hour. The most economical speed if the fixed charges i.e. salaries etc. amount to \(₹ \mathbf{3 0 0}\) per hour \(i\)

1 10
2 20
3 30
4 40
Application of Derivatives

85806 If \(0\lt x\lt \frac{\pi}{2}\), then

1 \(\tan x\lt x\lt \sin x\)
2 \(x\lt \sin x\lt \tan x\)
3 \(\sin x\lt \tan x\lt x\)
4 None of these