Slope

Q.

What is the slope of the tangent?

Q. 22.The dip at a place is delta.For measuring it the axis of the dip needle is perpendicular tothe magnetic meridian.If the axis of the dip needle makes an angle theta with the magnetic meridian, the apparent dip will be given by a)tan delta cosec theta b)tan delta sin theta c)tan delta cos theta d)tan delta sec theta

Q. Show that :1/tan3A - tanA - 1/cot3A-cotA = cot 2A

Q. Choose the correct option.

1. Derivative of constant is alwayas Zero.
2. Tangent is the limiting case of secent which intersects the curve at two infinitesimally close points.
3. Slope is defined as the ratio of the verticle change between two points, to the horizontal change between the same two points.
4. All of the above

Q. The slope of lines joining any two points on a straight line are always .

1. same
2. different
3. infinite

Q.

What is slope in simple language and its types?

Q. Find the modulus and argument of tan x- i

Q. Find the slope of the tangent to the curve $y=2\sqrt{x}$ at the point $(1,2)$.

1. 2
2. 4
3. 1
4. 5

Q. Find the slope of the tangent to the curve $y=2\sqrt{x}$ at the point $(1,2)$.

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

1. True
2. False

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 - (v) ; q - (iv); r - (vi)

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

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

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

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

Q. What is the slope of this curve?

1. 0

2. None of these

3. -1

4. 1

Q. In the given graph what is the slope at x=2?

1. 0

2. 1

3. 2

4. 4

Q. cosA-sinB/sinAsinB=(cotA-tanB)cotB

Q. The slope of lines joining any two points on a straight line are always .

1. same
2. different
3. infinite

Q.

Is the gradient the same as the derivative?

Q. The dip at a place is δ. For measuring it, the axis of the dip needle is perpendicular to the magnetic meridian. If the axis of the dip needle makes angle θ with the magnetic meridian, the apparent dip willbegivenbytan δ whichis equal to:- (1) tan δ cos θ (2) tan δ sec θ (3) tan δ sin θ (4) tan δ cosec θ

Q. In the given graph what is the slope at x=2?

1. 1

2. 2

3. 4

4. 0

Q.

In explaining the electric flux topic, there was an example about the fishing net catching fishes and it was told that the net catches more fishes when it's perpendicular to the flow of water and that the number of fishes being catched is reduced when the net is at an angle (say 60 degree) .
and my question is " Won't the number of fishes being caught be the same in both the cases because the area remains the same ? why and why not ? "

Q. A diver at a depth of 12m in water sees the sky in a cone of semi vertical angle a) sin^-1(4/3) b) tan^-1(4/3) c) sin^-1(3/4) d) 90degrees

Q. Find the slope of the tangent to the curve $y=2\sqrt{x}$ at the point $(1,2)$.

1. 4
2. 2
3. 1
4. 5

Q. In the given graph what is the slope at x=2?

1. 1

2. 2

3. 4

4. 0

Q.

Which of these options is the correct tangent to the given curve at the topmost point A

1. 

2. 

3. 

4. It's a close call

Q.

Which of these options is the correct tangent to the given curve at the topmost point A

1. 

2. 

3. 

4. Its a close call

Q. The slope in terms of Ө is .

1. sinӨ
2. cosӨ
3. tanӨ
4. secӨ

Q. The slope, if you are neither climbing up nor down, is .

1. positive
2. negative
3. zero
4. infinite

Q. ntThe dip at a place is delta.For measuring it the axis of the dip needle is perpendicular tothe magnetic meridian.If the axis of the dip needle makes an angle theta with the magnetic meridian, the apparent dip will be given byn nta)tan delta cosec thetan ntb)tan delta sin thetan ntc)tan delta cos thetan ntd)tan delta sec thetan

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. The slope, if you are neither climbing up nor down, is .

1. positive
2. negative
3. zero
4. infinite