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Priyanshu
answered
1 year(s)
, 7 month(s) ago

The ratio of the sum of n terms of two A.P.s is (7n+1):(4n+27).

Answer. Given ratio of sum of n terms of two AP’s = (7n+1):(4n+27)

Let’s consider the ratio these two AP’s mth terms as am : a’m →(2)

Recall the nth term of AP formula, an = a + (n – 1)d...

- 5 Answers
- 38 Likes
- 187523 Views

Syeda
answered
1 year(s)
ago

Show that one and only one out of n,n+2,n+4 is divisible by 3, where n is any positive integer.

Answer.

We applied Euclid Division algorithm on n and 3.

a = bq +r on putting a = n and b = 3

n = 3q +r , 0 i.e n = 3q -------- (1),n = 3q +1 --------- (2), n = 3...

- 2 Answers
- 32 Likes
- 166997 Views

Agam
answered
1 year(s)
, 10 month(s) ago

Least number to be added to make to make it a perfect square

Q1 find the least number which must be added to 7900 to obtain a perfect square?

Solution:

First let us find the square of 7900 using long division method.

The remainder is

...Asked by Harshaditya

Apr 14

- 18 Answers
- 35 Likes
- 142693 Views

Priyanshu
answered
1 year(s)
, 7 month(s) ago

What are the values of log from 1 to 10?

Answer.

log 1 = 0

log 2 = 0.3010

log 3 = 0.4771

log 4 = 0.6020

log 5 = 0.6989

log 6 = 0.7781

log 7 = 0.8450

log 8 = 0.9030

log 9 = 0.9542 <...

- 3 Answers
- 12 Likes
- 140087 Views

Syeda
answered
1 year(s)
ago

Find 6 rational numbers between root 2 and root 3

We know

Root 2 = 1.414

Root 3 = 1.732

Now, we can write n number of rational number between these. That is just greater than 1.414 and less than 1.732 and it should be terminatin...

Asked by Srinivasarao

Jul 10

- 5 Answers
- 22 Likes
- 127457 Views

Yuvraj
answered
1 year(s)
, 8 month(s) ago

What is the fullform of CPCT?

Sol:

The full form of CPCT is Corresponding parts of Congruent Triangles.

- 8 Answers
- 33 Likes
- 125988 Views

Syeda
answered
1 year(s)
ago

Find the value of tan 15 degrees

Answer.

Let tan(15°) = tan(45°-30°)

We know that tan(A - B) = (tanA - tanB) /(1 + tan A tan B)

⇒tan(45°-30°) = (tan45°- tan30°)/(1+tan45°tan30°)

= {1-

- 3 Answers
- 12 Likes
- 118205 Views

Syeda
answered
1 year(s)
ago

Find the greatest 6 digits number exactly divisible by 24, 15,and 36.

We will find out the LCM of 24,15 and 36 is 360.

Now, greatest 6-digit number is 999999.

Now, We will divide this number by LCM of 24,15 and 36, we will get,

999999/360 will get remai

...- 2 Answers
- 7 Likes
- 108822 Views

Syeda
answered
1 year(s)
ago

If the polynomial X4- 6X3+16X2-25X+10 is divided by X2-2X+k

Given that the remainder is (x + a)

⇒ (4k – 25 + 16 – 2k)x + [10 – k(8 – k) ] = x + a

⇒ (2k – 9)x + [10 – 8k + k
^{2} ] = x + a

On comparing both the sides, we get...

- 3 Answers
- 10 Likes
- 107118 Views

Syeda
answered
1 year(s)
ago

If x + 1/x = 3 , then find the value of x6+1/x6.

Assuming the question as (x + 1/x) = 3

Squaring on both the sides we get

(x + 1/x)
^{2} = 3
^{2}

x
^{2} +(1/x
^{2}) + 2 = 9

⇒ x
^{2}...

- 4 Answers
- 30 Likes
- 104015 Views

Syeda
answered
1 year(s)
ago

A plane left 30 min later than the scheduled time and in order to reach the destination 1500km away in time it has to increase the speed by 250km/h from the usual speed. find its usual speed

Sol:

Let the usual time taken by the aeroplane = x km/hr

Distance to the destination = 1500 km

Case (i)

Speed = Distance / Time = (1500 / x) Hrs

Case (iI)...

Asked by P duraisami

Apr 28

- 2 Answers
- 6 Likes
- 100681 Views

Syeda
answered
1 year(s)
ago

If mth term of an A.P is 1/n and the nth term is 1/m

Answer.

- SME Approved

- 2 Answers
- 9 Likes
- 96458 Views

Yogita
answered
1 year(s)
, 3 month(s) ago

Prove that 9AD2 = 7AB2

In this solution triangle ABC and ACE is taken in place of ABC, ABE should be taken.

- 3 Answers
- 13 Likes
- 94234 Views

Syeda
answered
1 year(s)
ago

Find the largest number which divide 615 and 963 leaving remainder 6 in each case.

To find the largest number which divides 615 and 963 leaving remainder 6 in each case i.e. HCF.

Consider HCF be x.

In order to make 615 and 963 completely divisible by x, we need to deduct th

...- 2 Answers
- 6 Likes
- 87692 Views

Syeda
answered
1 year(s)
ago

Find the missing frequencies in the following frequency distribution

Given, mean = 50.25

Sum of observations = 80

That is (60 + x + y) = 80

(x + y) = 20 … (1)

Mean = (2880 + 45x + 75y)/80

That is (50.25 × 80) = 2880 + 45x + 75y...

- 2 Answers
- 11 Likes
- 85883 Views

Syeda
answered
1 year(s)
ago

Prove that the product of three consecutive positive integer is divisible by 6.

Sol;

Let us three consecutive integers be, n, n + 1 and n + 2.

Whenever a number is divided by 3 the remainder obtained is either 0 or 1 or 2.

let n = 3p or 3p + 1 or 3p + 2, where p is so...

- 2 Answers
- 6 Likes
- 85379 Views

Hhh
answered
1 year(s)
, 2 month(s) ago

Find integral of root tan x .

∫√(tan x) dx

Let tan x = t^{2}

⇒ sec^{2} x dx = 2t dt

⇒ dx = [2t / (1 + t^{4})]dt

⇒ Integral ∫ 2t^{2} / (1 + t^{4}

Asked by Adarsh Udayan

Feb 11

- 4 Answers
- 14 Likes
- 84413 Views

Syeda
answered
1 year(s)
ago

To find 4th vertex of a parallelogram

Given three of vertices of a parallelogram are A(1,2), B (4,3), C (6,6).

Let the coordinates of fourth vertex be D (x, y)

In a parallelogram, diagonals bisect each other.

He

...- 2 Answers
- 4 Likes
- 81634 Views

Syeda
answered
1 year(s)
ago

In an ap of 50 terms, the sum of 1st 10 terms is 210 and the sum of its last 15 terms is 2565. find the a.p.

Consider a and d as the first term and the common difference of an A.P. respectively.

n th term of an A.P., a_{n} = a + ( n – 1)d

Sum of n terms of an A.P., S n = n/

...- 2 Answers
- 5 Likes
- 79408 Views

Syeda
answered
1 year(s)
ago

Find the smallest 4 digit number.

Sol:

LCM of 18, 24 and 32:

18 = 2 x 3 x 3

24 = 2 x 2 x 2 x 3

32 = 2 x 2 x 2 x 2 x 2

LCM = 2 x 2 x 2 x 2 x 2 x 3 x 3 = 288

The smallest four digit number that is divisi

...- 5 Answers
- 7 Likes
- 74383 Views

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