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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

Write four solutions for the following equations: πx + y = 9

We have to find four solutions for the equation πx+y = 9 Solution Let us assume x = 0 and substitute in the given equation Then,... View Article

In given figure. (i) and (ii) , DE || BC. Find EC in (i) and AD in (ii) .

(i) Given, In △ ABC, DE∥BC AD/DB = AE/EC [By Basic proportionality theorem] ⇒1.5/3 = 1/EC ⇒EC = 3/1.5 EC = 3×10/15 =... View Article

Find the sum of first 40 positive integers divisible by 6.

We have find the sum of first 40 positive integers divisible by 6 The positive integers that are divisible by 6 are 6, 12, 18, 24 ….... View Article

In Fig find the values of x and y and then show that AB || CD.

Given, AB and CD are two lines intersected by a transversal at point x and y. We need to find the values of x and y and show that AB || CD.... View Article

Without adding, find the sum: 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

Solution The Sum of first n odd natural numbers is n2 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 = 144 The Sum of first... View Article

Show that the angles of an equilateral triangle are 60° each.

Solution Given ∆ABC is an equilateral ∆ To Prove ∠A=∠B=∠C=60° In ∆ABC, AB=AC ∠B=∠C... View Article

All squares are rhombuses and also rectangles. (True or False)

All squares are rhombuses and also rectangles. Ans: True Squares have a property similar to Rhombuses and also to rectangles. ... View Article

Find the 20th term from the last term of the A.P. 3, 8, 13, …, 253.

Given that A.P. is3, 8, 13, …, 253 Common difference, d= 5. Find out We need to find the 20th term from the last Solution The given series... View Article