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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...

Jul 10

• 22 Likes
• 127171 Views

Jul 10

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...

Aug 19

• 30 Likes
• 103817 Views

Aug 19

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...

Feb 9

• 11 Likes
• 85736 Views

Feb 9

Agam answered 1 year(s) , 10 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°...

Oct 2

• 10 Likes
• 73347 Views

Oct 2

Syeda answered 1 year(s) ago

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

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

...

Feb 4

• 6 Likes
• 68717 Views

Feb 4

Kishore answered 5 year(s) , 7 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...

Oct 30

• 4 Likes
• 68626 Views

Oct 30

Syeda answered 1 year(s) ago

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

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 = √...

Oct 11

• 1 Like
• 65363 Views

Oct 11

Syeda answered 1 year(s) ago

A cone ,hemisphere and a cylinder stand on equal base

Volume of cone = (1/3)πr 2h
Volume of hemisphere = (2/3) πr 3
Volume of cylinder =  πr 2 h
Given that cone, hemisphere and cylinder have equal base a...

Jan 9

• 5 Likes
• 61624 Views

Jan 9

Agam answered 1 year(s) , 7 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...

Nov 21

• 7 Likes
• 61598 Views

Nov 21

Ramesh answered 4 year(s) , 10 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

• 6 Likes
• 58645 Views

Asked by Altaf Ali

Aug 11

Syeda answered 1 year(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

• 4 Likes
• 57809 Views

Asked by Raj kishore

Jul 10

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

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

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

Sep 28

• 9 Likes
• 53733 Views

Sep 28

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

Factorize x3 - 3x2 - 9x - 5

Great job Meghna, its absolutely correct.

Aug 5

• 10 Likes
• 53138 Views

Aug 5

Agam answered 1 year(s) , 10 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

Aug 2

• 7 Likes
• 52897 Views

Aug 2

Syeda answered 1 year(s) ago

A semi circular sheet of metal of diameter 28 cm

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 =...

Feb 27

• 5 Likes
• 52505 Views

Feb 27

Syeda answered 1 year(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,...

Sep 22

• 7 Likes
• 52236 Views

Sep 22

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

how to represent root 7 on numberline

Aug 16

• 9 Likes
• 52127 Views

Aug 16

Agam answered 1 year(s) , 10 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

Sep 15

• 3 Likes
• 52119 Views

Sep 15

Raghunath answered 4 year(s) , 3 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

...

Mar 9

• 4 Likes
• 50526 Views

Mar 9

Agam answered 1 year(s) , 10 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

• 5 Likes
• 47479 Views

Asked by Mohammed furqaan

Aug 23

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