X

Available for CBSE, ICSE and State Board syllabus.

Call our LearnNext Expert on 1800 419 1234 (tollfree)

OR submit details below for a call back

Can’t find a match **Ask?**

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}...

- 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...

- 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°...

Asked by Smritishraddha

Oct 2

- 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

- 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 = √...

- 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...

- 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
^{2}h

Volume of hemisphere = (2/3)πr
^{3}

Volume of cylinder = πr
^{2}h

Given that cone, hemisphere and cylinde...

- 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

- 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=...

- 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,...

Asked by Aaradhyabalan

Sep 22

- 4 Answers
- 6 Likes
- 48413 Views

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

how to represent root 7 on numberline

- 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 =...

- 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

- 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}

- 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...

- 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.

- 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

4πr^{2} = 6a^{2}

(r/a

...- 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...

Asked by Mohammed furqaan

Aug 23

- 2 Answers
- 5 Likes
- 40620 Views

Offered for classes 6-12, LearnNext is a popular self-learning solution for students who strive for excellence

Explore
lessons

Test Series

Experiments

books