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Priyanshu answered 1 year(s) , 1 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...

Asked by Venkatesh

Nov 13

  • 5 Answers
  • 28 Likes
  • 132456 Views
Agam answered 1 year(s) , 3 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
  • 31 Likes
  • 128670 Views
Syeda answered 1 year(s) , 6 month(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...

Asked by Hyadarani

Apr 15

  • 2 Answers
  • 23 Likes
  • 112009 Views
Yuvraj answered 1 year(s) , 2 month(s) ago

What is the fullform of CPCT?

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

Asked by Sunil

Sep 18

  • 8 Answers
  • 32 Likes
  • 109034 Views
Priyanshu answered 1 year(s) , 1 month(s) ago

What are the values of log from 1 to 10?

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
log 10 =...

Asked by Yash

Jan 18

  • 3 Answers
  • 10 Likes
  • 96414 Views
Syeda answered 1 year(s) , 5 month(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
  • 18 Likes
  • 95224 Views
Syeda answered 1 year(s) , 6 month(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...

Asked by Neha

Aug 19

  • 4 Answers
  • 30 Likes
  • 90769 Views
Syeda answered 1 year(s) , 5 month(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-

...

Asked by Chundi

Apr 20

  • 3 Answers
  • 9 Likes
  • 90198 Views
Syeda answered 1 year(s) , 6 month(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
  • 79774 Views
Syeda answered 1 year(s) , 6 month(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

...

Asked by BAISHALI

Apr 20

  • 2 Answers
  • 7 Likes
  • 70962 Views
Syeda answered 1 year(s) , 6 month(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

...

Asked by Pragasam

May 22

  • 2 Answers
  • 6 Likes
  • 69227 Views
Sreejagaths answered 7 month(s) , 22 day(s) ago

Find integral of root tan x .

∫√(tan x) dx

Let tan x = t2

⇒ sec2 x dx = 2t dt

⇒ dx = [2t / (1 + t4)]dt

⇒ Integral  ∫ 2t2 / (1 + t4

...

  • 4 Answers
  • 11 Likes
  • 68013 Views
Yogita answered 9 month(s) , 15 day(s) ago

Prove that 9AD2 = 7AB2

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

Asked by Pranav

Sep 1

  • 3 Answers
  • 12 Likes
  • 67553 Views
Syeda answered 1 year(s) , 6 month(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...

Asked by Krishna

Aug 20

  • 3 Answers
  • 7 Likes
  • 65649 Views
Syeda answered 1 year(s) , 6 month(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...

Asked by Harsh

Feb 9

  • 2 Answers
  • 9 Likes
  • 65229 Views
Syeda answered 1 year(s) , 5 month(s) ago

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

Answer.

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, w...

Asked by Sparsh

Apr 27

  • 2 Answers
  • 6 Likes
  • 63381 Views
Syeda answered 1 year(s) , 6 month(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

...

Asked by Mehnaaz

Nov 12

  • 5 Answers
  • 6 Likes
  • 61783 Views
Agam answered 1 year(s) , 4 month(s) ago

Bisectors of angles B and C of a triangle ABC intersect each other at O .


In ΔABC, by angle sum property we have
2x + 2y + ∠A = 180°
⇒ x + y + (∠A/2) = 90°
⇒ x + y = 90° –  (∠A/2)  à (1)
In ΔBOC, we have
 x + y + ∠BOC = 180°
90°...

  • 2 Answers
  • 7 Likes
  • 59480 Views
Syeda answered 1 year(s) , 6 month(s) ago

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

Answer.


  • SME Approved

Asked by Lavanya

Nov 24

  • 2 Answers
  • 6 Likes
  • 58347 Views
Syeda answered 1 year(s) , 6 month(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

...

Asked by Rutul

Feb 11

  • 2 Answers
  • 3 Likes
  • 57989 Views
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