Slope

Q.

Three rods of identical cross-sectional area and made from the same metal form the sides of an isosceles triangle $ABC$ right angled at $B$. The points $A$ and $B$ are maintained at temperatures $T$ and $\sqrt{2}T$, respectively, in the steady state. Assuming that only heat conduction takes place, temperature of point $C$ is

1. 

2. 

3. 

4. 

Q.

A tangent is defined as a line that intersects a curve at exactly one point.

1. True

2. False

Q. There is a circular tube in a vertical plane. Two liquids which do not mix and of densities di and d2 are filled in the tube. Each liquid subtends90^° angle at centre. Radius joining their interfacepd2makes an angle a with vertical. Ratio is:pA PO 31 +sin aP1 +cos a()1- sin a(q)1- cos a1+sin a1+tan a(c) 1-tan a(p)1-cos a (JEE 2014)

Q. Why is cos theta involved in dot product of two vectors i.e [{(vector A) dot (vector B)} = |A| |B| cos theta]

Q. 112.A pendulum suspended from a point where s drawn by a horizontal force F so that the string makes an angle theta with horizontal .then A)F=W/tan (theta) B)F=W tan(theta) C)F=W sin(theta)

Q.

How do you find the slope of the line tangent to the curve $3x^2-2xy+y=11$ at the point $\left(1,-2\right)$?

Q.

What can the slope be in terms of theta?

1. sinӨ

2. cosӨ

3. tanӨ

4. none of these

Q.

What can the slope be in terms of theta?

1. sin Ө

2. cos Ө

3. none of these

4. tan Ө

Q.

From the given graph (in red colour) match the mentioned points (column I)
with their slope (column II)
Column I Column II
(p) X = 2 (i) 2
(q) X = 6 (ii) 6
(r) X = 10 (iii) 10
(iv) 0
(v) $\frac{1}{2}$
(vi) $\frac{-1}{2}$

1. p - (v) ; q - (iv) ; r - (vi)

2. p - (i) ; q - (ii); r - (iii)

3. p - (v) ; q - (iv); r - (vi)

4. p - (v) ; q - (ii); r - (ii)

Q.

What is the slope if you are neither climbing up nor down?

1. Positive

2. Negative

3. Zero

4. Infinite

Q. The slope in terms of Ө is .

1. sinӨ
2. cosӨ
3. tanӨ
4. secӨ

Q.

Superman is going on a vacation to his home planet krypton from earth via. Sun. (Let's assume for a moment that Krypton is not destroyed). His energy v/s distance travelled graph is as shown below:

At which point is superman's (dE/ds) positive?

1. 100 million kms

2. 150 million kms

3. 200 million kms

4. 1000 million kms

Q. The angle in $tan\theta$ is always measured in the anticlockwise direction from the positive x-axis.

1. True
2. False

Q.

If we add vectors A & E. Which of these is the correct result?

1. $2\hat{i}$

2. $3\hat{i}$

3. None of these

4. $5\hat{i}$

Q. An object is dropped from rest.If it falls a dis†an ce s1 during the first second and an additional dis†an ce s2 in the next second, find the ratio of s2/s1.

Q. What will be the slope in this case?

1. 0

2. Infinity

3. Undefined

4. Some finite quantity

Q. relation between firs†an d secnd law ofmotio

Q. The slope of a function y = f(x) at x is given by

1. Ratio of infinitesimal increment in y to infinitesimal increment in x
2. Ratio of infinitesimal increment in x to infinitesimal increment in y
3. Ratio of infinitesimal increment in y to infinitesimal increment in y
4. Ratio of infinitesimal increment in x to infinitesimal increment in x

Q. In what way temperature at bottom of waterfall differs at temperature at top??

Q.

River is flowing at $3\text{km/h}$ in the west direction, and you can swim at a maximum speed of $5\text{km/h}$. Given, the river is $12\text{km}$ wide. If you are crossing in shortest path, how long will you take to cross the river?

Q. The derivative of a function at a local minimum is

1. < 0
2. > 0
3. = 0
4. > = 0