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Syeda answered 1 year(s) , 8 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
  • 20 Likes
  • 99348 Views
Syeda answered 1 year(s) , 8 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
  • 94847 Views
Syeda answered 1 year(s) , 8 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
  • 10 Likes
  • 73037 Views
Agam answered 1 year(s) , 6 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
  • 8 Likes
  • 63754 Views
Syeda answered 1 year(s) , 8 month(s) ago

AD is a median of triangle ABC and E is the mid-point of AD

Answer.


Given AD is the median of ΔABC and E is the midpoint of AD
Through D, draw DG || BF
In ΔADG, E is the midpoint of AD and EF || DG
By converse of midpoint theorem w

...

Asked by G

Feb 4

  • 3 Answers
  • 6 Likes
  • 57416 Views
Syeda answered 1 year(s) , 8 month(s) ago

Find the length of the longest rod that can be placed in a room

Answer.

    Given length l = 12 m
breadth b = 9 m and height h = 8 m
Longest rod that can be placed in a room is nothing but its diagonal.
Length of diagonal of a cuboid = √...

Asked by Keisam

Oct 11

  • 3 Answers
  • 1 Like
  • 55208 Views
Agam answered 1 year(s) , 3 month(s) ago

prove that bisectors of angles of parallelogram form a rectangle


Given: ABCD is a parallelogram. AE bisects ∠BAD. BF bisects ∠ABC. CG bisects ∠BCD and DH bisects ∠ADC
To prove: LKJI is a rectangle
∠BAD + ∠ABC = 180° because adjacent angles of a paralle...

Asked by Aman

Nov 21

  • 3 Answers
  • 5 Likes
  • 53994 Views
Syeda answered 1 year(s) , 8 month(s) ago

x3 +1/x3 = 110,then x+1/x =

Given x 3+ 1/x 3 =110
Recall that (x+1/x) 3 = x 3+ 1/x 3 + 3(x+1/x)
Let (x+1/x)=a
⇒ a 3 = 110 + 3a
⇒a...

Asked by Raj kishore

Jul 10

  • 3 Answers
  • 4 Likes
  • 51242 Views
Syeda answered 1 year(s) , 8 month(s) ago

A cone ,hemisphere and a cylinder stand on equal base

Answer.

    Volume of cone = (1/3)πr 2h
Volume of hemisphere = (2/3)πr 3 
Volume of cylinder = πr 2h
Given that cone, hemisphere and cylinde...

Asked by Shahnawaz

Jan 9

  • 2 Answers
  • 4 Likes
  • 50932 Views
Ramesh answered 4 year(s) , 6 month(s) ago

Find the square root of 35.

Sol:
Square root of 35 in long division method.


∴ √35 ≅ 5.916

Asked by Altaf Ali

Aug 11

  • 1 Answer
  • 6 Likes
  • 50571 Views
Agam answered 1 year(s) , 6 month(s) ago

Prove that every line segment has one and only one mid point.

Answer.

    let C and D be 2 mid points of line segment AB.
since C is the mid point , AC=CB=1/2 AB
similarily  AD=BD=1/2 AB
thus AC=AD
AD+CD=AD
therefore  CD=...

Asked by Snehal

Sep 28

  • 7 Answers
  • 9 Likes
  • 49280 Views
Syeda answered 1 year(s) , 8 month(s) ago

Perimeter of a triangle is greater than the sum of its three medians


Let ABC be the triangle and D. E and F are midpoints of BC, CA and AB respectively.
Recall that the sum of two sides of a triangle is greater than twice the median bisecting the third side,...

  • 4 Answers
  • 6 Likes
  • 48413 Views
Agam answered 1 year(s) , 6 month(s) ago

how to represent root 7 on numberline

Asked by Sourabh

Aug 16

  • 9 Answers
  • 9 Likes
  • 47869 Views
Syeda answered 1 year(s) , 8 month(s) ago

A semi circular sheet of metal of diameter 28 cm

Answer.

Given diameter = 28 cm
Radius, r = 14 cm
Circumference of semi circle = πr
= (22/7) x 14 = 44 cm
This becomes circumference of base of cone
2 πR =...

Asked by G

Feb 27

  • 2 Answers
  • 5 Likes
  • 47166 Views
Agam answered 1 year(s) , 6 month(s) ago

Give exmple of two irrational numbers whose sum is rational

1) (2 + √3) + (2 − √3) = 4
2) (2 + √3) × (2 − √3) = 2 2 − (√3) 2= 4 − 3 = 1
3)  (√5/√5) = 1

Asked by Meghna

Aug 2

  • 4 Answers
  • 7 Likes
  • 45704 Views
Agam answered 1 year(s) , 6 month(s) ago

Arrange in ascending order: root 3, 3root 4, 4root 6


LCM of the denominators of exponents 2, 3 and 4 is 12

Hence the ascending order of the given numbers is

Asked by Arjun

Sep 15

  • 4 Answers
  • 3 Likes
  • 44312 Views
Kishore answered 5 year(s) , 3 month(s) ago

The height of a cone is 30 cm. A small cone is cut off


Given height of the cone = 30 cm
Let the small cone is cut off at a height ‘h’ from the top
Let the radius of big cone be r 1 and small cone be r 2.
Volume...

Asked by Keisam

Oct 30

  • 1 Answer
  • 3 Likes
  • 43480 Views
Agam answered 1 year(s) , 6 month(s) ago

Factorize x3 - 3x2 - 9x - 5

Great job Meghna, its absolutely correct.

Asked by Meghna

Aug 5

  • 2 Answers
  • 8 Likes
  • 43200 Views
Raghunath answered 3 year(s) , 11 month(s) ago

A sphere and a cube have the same surface area . show that the ratio of the volumes of the sphere to that of the cube is √6 : √π

Let r and a be the radius of the sphere and edge of the cube respectively.

Given, Surface area of sphere = Surface area of cube

4πr2 = 6a2

(r/a

...

Asked by BAISHALI

Mar 9

  • 1 Answer
  • 4 Likes
  • 41178 Views
Agam answered 1 year(s) , 6 month(s) ago

If a2+b2+c2-ab-bc-ca=0,prove that a=b=c.

Consider, a 2 + b 2 + c 2 – ab – bc – ca = 0
Multiply both sides with 2, we get
2( a 2 + b 2 + c 2 – ab – bc – ca) = 0...

  • 2 Answers
  • 5 Likes
  • 40620 Views
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