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Ask QuestionPosted by Himanshi . 5 years, 3 months ago
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Posted by Subiksha Vijaya 5 years, 3 months ago
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Gaurav Seth 5 years, 3 months ago
7. To find out the concentration of SO2 in the air (in parts per million, i.e., ppm), the data was collected for 30 localities in a certain city and is presented below:
| Concentration of SO2 ( in ppm) | Frequency |
| 0.00 – 0.04 | 4 |
| 0.04 – 0.08 | 9 |
| 0.08 – 0.12 | 9 |
| 0.12 – 0.16 | 2 |
| 0.16 – 0.20 | 4 |
| 0.20 – 0.24 | 2 |
Find the mean concentration of SO2 in the air.
Solution:
To find out the mean, first find the midpoint of the given frequencies as follows:
| Concentration of SO2 (in ppm) | Frequency (fi) | Mid-point (xi) | fixi |
| 0.00-0.04 | 4 | 0.02 | 0.08 |
| 0.04-0.08 | 9 | 0.06 | 0.54 |
| 0.08-0.12 | 9 | 0.10 | 0.90 |
| 0.12-0.16 | 2 | 0.14 | 0.28 |
| 0.16-0.20 | 4 | 0.18 | 0.72 |
| 0.20-0.24 | 2 | 0.20 | 0.40 |
| Total | Sum fi = 30 | Sum (fixi) = 2.96 |
The formula to find out the mean is
Mean = x̄ = ∑fixi /∑fi
= 2.96/30
= 0.099 ppm
Therefore, the mean concentration of SO2 in air is 0.099 ppm.
Posted by Vishakha Girl 5 years, 3 months ago
- 2 answers
Gaurav Seth 5 years, 3 months ago
(xii) √2, √8, √18, √32 …
Here,
a2 – a1 = √8-√2 = 2√2-√2 = √2
a3 – a2 = √18-√8 = 3√2-2√2 = √2
a4 – a3 = 4√2-3√2 = √2
Since, an+1 – an or the common difference is same every time.
Therefore, d = √2 and the given series forms a A.P.
Hence, next three terms are;
a5 = √32+√2 = 4√2+√2 = 5√2 = √50
a6 = 5√2+√2 = 6√2 = √72
a7 = 6√2+√2 = 7√2 = √98
Posted by #?Abhishek...? . 5 years, 3 months ago
- 1 answers
Gaurav Seth 5 years, 3 months ago
Class 10 Maths Exercise 6.3
10. CD and GH are respectively the bisectors of
ACB and
EGF such that D and H lie on sides AB and FE at
ABC and
EFG respectively. If
ABC
FEG, show that:
(i) 
(ii)
DCB
HE
(iii)
DCA
HGF
Ans. We have,
ABC
FEG

A =
F………(1)
And
C =
G

C = 
G
1 =
3 and
2 =
4 ……….(2)
[
CD and GH are bisectors of
C and
G
respectively]
In
s DCA and HGF, we have
A =
F[From eq.(1)]
2 =
4[From eq.(2)]
By AA-criterion of similarity, we have
DCA
HGF
Which proves the (iii) part
We have,
DCA
HGF



Which proves the (i) part
In
s DCA and HGF, we have
1 =
3[From eq.(2)]
B =
E[
DCB
HE]
Which proves the (ii) part
Posted by Rakesh Kushwaha 5 years, 3 months ago
- 1 answers
#?Abhishek...? . 5 years, 3 months ago
Posted by Ragini Singh 5 years, 3 months ago
- 2 answers
Sonu Gop 5 years, 3 months ago
Posted by Namitha Namitha 5 years, 3 months ago
- 1 answers
Yogita Ingle 5 years, 3 months ago
x2-3x+5=(x+5)2
x2 - 3x+5 = x2 + 10x + 25
x2 - x2 -3x - 10x + 5 - 25 = 0
- 13x - 20 = 0
It's not a quadratic equation.
Posted by Niharika Raj 5 years, 3 months ago
- 1 answers
Gaurav Seth 5 years, 3 months ago
LHS =
= RHS
OR
LHS
=sin a -2sin ^3 a/ 2cos^3 a + cos a
=sin a (1-2sin^2a)/ cos a ( 2cos2a+1)
=sin a/cos a × 1-2sin2a/2cos2a+1
=tan a × 2(1-sin2a)/2(1-sin2 a)+1
=tana ×1/1
=tan a=RHS
Posted by Puranjay Vyas 5 years, 3 months ago
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Niharika Raj 5 years, 3 months ago
Posted by Shagan Dandiwal 5 years, 3 months ago
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Posted by Shubhangi Mozarkar 5 years, 3 months ago
- 2 answers
Rohit Kumar 5 years, 3 months ago
Gaurav Seth 5 years, 3 months ago
We have given that
Sum of the first n terms = 4n – n2
⇒ Sn = 4n – n2
Sn –1 = 4(n – 1) – (n – 1)2
= (4n – 4) – (n2 + 1 – 2n)
= 4n – 4 – n2 – 1 + 2n
= 6n – n2 – 5
∴ nth term = Sn – Sn – 1
= (4n – n2) – (6n – n2 – 5)
= 4n – n2 – 6n + n2 + 5
= 5 –2n.
Posted by Shubhangi Mozarkar 5 years, 3 months ago
- 1 answers
Gaurav Seth 5 years, 3 months ago
We have given that
Sum of the first n terms = 4n – n2
⇒ Sn = 4n – n2
Sn –1 = 4(n – 1) – (n – 1)2
= (4n – 4) – (n2 + 1 – 2n)
= 4n – 4 – n2 – 1 + 2n
= 6n – n2 – 5
∴ nth term = Sn – Sn – 1
= (4n – n2) – (6n – n2 – 5)
= 4n – n2 – 6n + n2 + 5
= 5 –2n.
Posted by Mohit Thakur 5 years, 3 months ago
- 3 answers
Syed Sadiq Ahamed 5 years, 3 months ago
Gaurav Seth 5 years, 3 months ago
Pythagoras Theorem
Statement: In a right angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides.
Given: A right triangle ABC right angled at B.
To prove: AC2 = AB2 + BC2
Construction: Draw BD
AC

Proof :
We know that: If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, then triangles on both sides of the perpendicular are similar to the whole triangle and to each other.
ADB 
ABC
So,
(Sides are proportional)
Or, AD.AC = AB2 ... (1)
Also,
BDC 
ABC
So, 
Or, CD. AC = BC2 ... (2)
Adding (1) and (2),
AD. AC + CD. AC = AB2 + BC2
AC (AD + CD) = AB2 + BC2
AC.AC = AB2 + BC2
AC2 = AB2 + BC2
Hence Proved.
Posted by Aaisha Maaria 5 years, 3 months ago
- 3 answers
Posted by Aaisha Maaria 5 years, 3 months ago
- 1 answers
Posted by Aaisha Maaria 5 years, 3 months ago
- 1 answers
Posted by Aaisha Maaria 5 years, 3 months ago
- 1 answers
Posted by Navnidhi Gandhi 5 years, 3 months ago
- 3 answers
Syed Sadiq Ahamed 5 years, 3 months ago
Posted by Ananya Singh 5 years, 3 months ago
- 0 answers
Posted by Vaibhav Raj 5 years, 3 months ago
- 1 answers
Gaurav Seth 5 years, 3 months ago
A n s w e r :
t a n (x + 30 °) = 1
tan (x + 30°) = tan 45°
(x + 30 °) = 45 °
x = 15 °
Posted by Aryavir Malik 5 years, 3 months ago
- 3 answers
Posted by Sarang S 5 years, 3 months ago
- 1 answers
Posted by Binay Sharma 5 years, 3 months ago
- 2 answers
Amir Inamdar 5 years, 3 months ago
Yogita Ingle 5 years, 3 months ago
We know 8n = (23)n = 23n
If 8n end with zero then 10 is factor of 8n.
8n = 23n =
(5)(2)
5 is factor of 2, which is a contradiction
So, our assumption is wrong. Hence 8n cannot end with zero.
Posted by Sunidhi Singh 5 years, 3 months ago
- 2 answers
Yogita Ingle 5 years, 3 months ago
The sine function forms a wave that starts from the origin
- sin θ = 0 when θ = 0 ˚ , 180˚ , 360˚ .
- Maximum value of sin θ is 1 when θ = 90 ˚. Minimum value of sin θ is –1 when θ = 270 ˚. So, the range of values of sin θ is –1 ≤ sin θ ≤ 1.
Posted by Sunidhi Singh 5 years, 3 months ago
- 0 answers
Posted by Dhruv Lamba 5 years, 3 months ago
- 3 answers
Posted by Samruddhi Br 5 years, 3 months ago
- 1 answers
Madhav Emineni 5 years, 3 months ago
Posted by Suganth Kamal 5 years, 3 months ago
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Yogita Ingle 5 years, 3 months ago
Comparing with standard quadratic equation ax2 + bx + c = 0
a = 2, b = 0, c = -11
Discriminant D = b2 – 4ac
= (0)2 – 4.2.(-11)
= 0 + 88
= 88
2Thank You