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Find two numbers whose sum is 27 and product is 182.

Given According to the given data The sum of two numbers is 27 and Product of the two numbers is 182 Find out We have to determine the two... View Article

Rationalize the denominators of the following: 1/(√7-2)

(iv) 1/(√7-2) To ratanolise the denominator we have to Multiply and divide 1/(√7-2) by (√7+2) we get,... View Article

Rationalize the denominators of the following: 1/(√7-√6)

(ii) 1/(√7-√6) To ratanolise the denominator we have to Multiply and divide 1/(√7-√6) by (√7+√6) we get,... View Article

Solve the following linear equation: x/2 – 1/5 = x/3 + 1/4

(5x – 2)/10 = (4x + 3)/12 On taking LCM on both sides we get 12(5x – 2) = 10 (4x + 3) 60x – 24 = 40x + 30 Rearranging the... View Article

Rationalize the denominators of the following: 1/(√5 + √2)

(iii) 1/(√5+√2) To ratanolise the denominator we have to Multiply and divide 1/(√5+√2) by (√5-√2) we get,... View Article

Solve the following linear equation: m – (m – 1) /2 = 1 – (m – 2) /3

(2m – m + 1)/2 = (3 – m + 2)/3 On taking LCM on both sides we get (m + 1)/2 = (5 – m)/3 3(m + 1) = 2(5 – m) On... View Article

Classify the given data as primary or secondary data.

Five examples from day-to-day life are listed below 1. Number of children present in an apartment 2. Number of shops present in my... View Article

Solve the following linear equation: n/2 – 3n/4 + 5n/6 = 21

(6n – 9n + 10n)/12 = 21 On taking LCM on both sides we get 7n/12 = 21 Rearranging the equation and combining like terms we get 7n... View Article

Find the mode of 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18.

Given 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18 is the given data Find out We have to find out the value of the mode Solution On... View Article

An arc is a ___________ when its ends are the ends of a diameter.

An arc is a semicircle when its ends are the ends of a diameter. A circle is a closed two-dimensional figure in which the set of all... View Article

A circle divides the plane, on which it lies, in _____________ parts.

A circle divides the plane, on which it lies, in 3 (three) parts. A circle is a closed two-dimensional figure in which the set of all... View Article

Without adding, find the sum: 1 + 3 + 5 + 7 + 9 + I1 + 13 + 15 + 17 + 19

Solution The Sum of first n odd natural numbers is n2 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 +19 = 100 The Sum of first 10 odd natural... View Article

Write four solutions for the following equations: x = 4y

We have to find four solutions for the equation x = 4y Solution Let us assume x= 0 and substitute in the given equation Then, x = 4y 0 = 4y... View Article

What is the importance of universal law of gravitation?

Newton’s Law of Universal Gravitation states that every particle attracts every other particle in the universe with a force that is directly... View Article

Solve the following linear equation: x + 7 – 8x/3 = 17/6 – 5x/2

x – 8x/3 + 5x/2 = 17/6 – 7 (6x – 16x + 15x)/6 = (17 – 42)/6 On taking LCM on both sides we get 5x/6 = -25/6... View Article

In Fig. if AB CD, EF ⊥ CD and GED = 126°, find AGE, GEF and FGE.

Given AB || CD, EF ⊥ CD, ∠GED = 126° Find out WE have to find the angles AGE, GEF and FGE. => ∠GED = ∠GEF +... View Article

Determine if the points (1, 5) , (2, 3) and (-2, -11) are collinear.

The sum of the lengths of any two line segments is equal to the length of the third line segment then all three points are collinear. Let us... View Article

Write four solutions for the following equations: 2x + y = 7

We have to find four solutions for the equation 2x+y = 7 Solution 2x+y = 7 To find the solutions Let us assume x=0 and substitute in the... View Article

In the figure, if LM || CB and LN || CD, prove that AM/AB = AN/AD

Proof In the given diagram, we observe that, LM || CB By using basic proportionality theorem, we get, AM/AB =... View Article

Solve the following linear equation: (3t – 2) /4 – (2t + 3) /3 = 2/3 – t

3t/4 – 1/2 – 2t/3 -1 = 2/3 – t 3t/4 – 2t/3 + t = 2/3 + 1 + 1/2 (9t – 8t + 12t)/12 = (4 + 6 + 3)/6 On taking LCM on... View Article