Engineering

30 Views |
1 week, 1 day ago

Sir please tell the answer of this question and solving method.
Two particles executes S.H.M. of same amplitude and frequency along the same straight line. They pass one another when going in opposite directions, and each time their displacement is half of their amplitude. The phase difference between them is

Engineering

51 Views |
1 week, 5 days ago

If an equilateral triangle, having vertex at the (2,-1), has a side along the line, x+y=2, then the area (in sq. units) of this triangle is :

- Option 1)
- Option 2)
6

- Option 3)
- Option 4)

Engineering

73 Views |
1 week, 5 days ago

If the sum of the first 15 terms of the series 3+7+14+24+37+.......is 15K, then k is equal to :

- Option 1)
126

- Option 2)
122

- Option 3)
81

- Option 4)
119

Use
Summation of series of natural numbers -
- wherein
Sum of first n natural numbers
and
Summation of series of natural numbers -
- wherein
Sum of squares of first n natural numbers
3+7+14+24+37 ----------15K
Let Tn=an2+bn+c because difference is in A.P: [4,7,10,13-----------------]
at n=1 ------(i)
n=2 -------(ii)
n=3 -------(iii)
...

Engineering

71 Views |
1 week, 6 days ago

Statement 1: An equation of a common tangent to the parabola and the ellipse is

Statement 2: If the line is a common tangent to the parabola

and the ellipse then m satisfies

- Option 1)
Statement 1 is false, statement 2 is true

- Option 2)
Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1

- Option 3)
Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1

- Option 4)
Statement 1 is true, statement 2 is false

As we learnt in
Equation of tangent -
- wherein
Tengent to is slope form.
Statement 1 :
Statement 2 :
If is a common tangent to and ellipse
From (i) statement 2 is a correct explanation for statement 1.
Option 1)
Statement 1 is false, statement 2 is true
This option is incorrect.
Option 2)
Statement 1 is true, statement 2 is true; statement 2 is a correct...

Engineering

70 Views |
1 week, 6 days ago

The eccentricity of an ellipse whose centre is at the origin is

If one of its directrices is x=−4, then the equation of the normal to it at

is:

- Option 1)
- Option 2)
- Option 3)
- Option 4)

As learned in concept
Eccentricity -
- wherein
For the ellipse
and
Equation of directrices -
- wherein
For the ellipse
we have & x=-4
From this we can calculate the value of a
so a=4
Now,
Hence, Equation of ellipse is-
Differentiate to get the value of slope-
So slope at given point is
Now by using the formula of normal of a equation-
normal at point is ...

Engineering

16 Views |
2 weeks ago

The correct order of -I effect is

- Option 1)
- Option 2)
- Option 3)
- Option 4)

As we learned
Positive inductive effect -
Having less tendency to attractive e- towards itself as compared to the Hydrogen atom
- wherein
The correct order of +I effect is
D is slightly more electron releasing than H.
Option 1)
Option 2)
Option 3)
Option 4)

Engineering

37 Views |
2 weeks ago

Let G be the geometric mean of two positive numbers a and b, and M be the arithmetic mean of and

if is 4:5 then a:b can be:

- Option 1)
- Option 2)
- Option 3)
- Option 4)

As we learnt in
Arithmetic mean of two numbers (AM) -
- wherein
It is to be noted that the sequence a, A, b, is in AP where, a and b are the two numbers.
and
Geometric mean of two numbers (GM) -
- wherein
It is to be noted that a,G,b are in GP and a,b are two non - zero numbers.
Given G2 = ab
and
Option 1)
Option 2)
Option 3)
Option 4)

Engineering

97 Views |
2 weeks ago

The sum of the first 20 terms common between the series 3+7+11+15+..... and 1+6+11+16+..... , is :

- Option 1)
4000

- Option 2)
4020

- Option 3)
4200

- Option 4)
4220

Use
Sum of n terms of an AP -
and
Sum of n terms of an AP
- wherein
first term
common difference
number of terms
series are 3,7,11,15,19,23,27,31..............
and 1,6,11,16,21,26,31....................
So common terms are 11,31,............
Option 1)
4000
Option 2)
4020
Option 3)
4200
Option 4)
4220

Engineering

65 Views |
2 weeks ago

Find the last three digits of 17^256

@Shekhar
Solution: We have 172
Now, 17256
2 128
= (17 )
289
= (290 - 1)128
-290
- (128) (290) +1
128C
2
126(290)
12SC127(290) + 1
, where m is a positive integer.
= 1000 m + (128) (290) [(127) (145) - 1] + 1 = 1000 m + (128) (290) (18414) + 1
= 1000 Cm + 683527] + 680 + 1 = 1000 [m + 683527] + 681
Thus, the last three digits of 17256 are 681

Engineering

64 Views |
2 weeks, 1 day ago

which interval probability lies.

@_Rakesh,
Minimum value of probability of an event is 0 and maximum ia 1.
Probabilty of an event or intervel lies in [0,1]

Engineering

59 Views |
2 weeks, 1 day ago

find the general trem in the expansion of

Engineering

57 Views |
2 weeks, 1 day ago

Let and . If , then x is equal to :

Engineering

78 Views |
2 weeks, 1 day ago

sir,what is releation between emf and p.d ,from chapter current electricity, plz explain me those releation

@Nilesh

The potential difference accross the terminals of a cell when it is not supplying any current is called e.m.f while

The voltage accross the terminals of a cell when it is supplying current to external resistance is known as Potential Difference .

When the cell is being charged

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Engineering

74 Views |
2 weeks, 1 day ago

Sir, I have a doubt about the question given in concept of charge conservation. Can't mass also be conserved?

@Shashank The law of conservation of mass or principle of mass conservation states that for any system closed to all transfers of matter and energy, the mass of the system must remain constant over time, as system's mass cannot change, so quantity cannot be added nor removed. Hence, the quantity of mass is conserved over time.

Engineering

69 Views |
2 weeks, 1 day ago

I want to calculate resultant resistance then how can calculate?

@Nilesh

**Strategy for simplifying a resistor network**

- Begin as far away as possible from the circuit location in question.
- Replace series or parallel resistors with their equivalent resistor.
- Continue, moving left until a single equivalent resistor represents the entire resistor network.

Engineering

68 Views |
2 weeks, 1 day ago

plz help me to solve questions about effective resistance in both series
plz help me

@Nilesh When resistors are connected in series, the current through each resistor is the same and

the total potential difference across all the resistors is equal to the sum of the potential differences across each resistor.

For example when resistor are connected in sereis then

1, 2,View More

Engineering

79 Views |
2 weeks, 1 day ago

The radius and mass of earth are increased by 0.5%. Which of the following statements are true at the surface of the earth?
A) g will increase
B) g will decrease
C) Escape velocity will remain unchanged
D) Potential energy will remain unchanged

after increasing by 0.5%

So If both mass and radius are increased by 0.5% then and U remains unchanged where as g will be decreased.

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Engineering

76 Views |
2 weeks, 1 day ago

Hello
When a body is earth connected then the electrons from the earth flow into the body...that means the body is uncharged right??
When the body is earth connected , how can the body be positively charged? Like I meant the electrons doesn't flow as it remains unchanged
Hello anybody there
Plzz reply

the body is positively charged before grounding and after that electrons flows from earth to body and body becomes neutral.

the Body is positively charged before grounding because If a body is grounded and electrons starts flowing into the body from then Earth this would mean that the charges inside the body are attracting the negative electrons from Earth as a potential difference is being developed at the two ends, the Earth and the body.

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Engineering

1 Views |
2 weeks, 1 day ago

Hello
When a body is earth connected then the electrons from the earth flow into the body...that means the body is uncharged right??
When the body is earth connected , how can the body be positively charged? Like I meant the electrons doesn't flow as it remains unchanged
Hello anybody there
Plzz reply

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