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Check whether -150 is a term of the A.P. 11, 8, 5, 2, …

Given that The given series, A.P. 11, 8, 5, 2.. Find out If -150 is a term of the given AP Solution The first term, a = 11 Common... View Article

In Fig. if x + y = w + z, then prove that AOB is a line.

Given x + y = w + z --------(i) We know that , sum of all angles made along a point is 360° So, Taking O as a point ∠AOC + ∠BOC... View Article

In Fig. if AB CD, APQ = 50° and PRD = 127°, find x and y.

Given AB || CD and PQ is a transversal Find out We have to find the angles x and y Solution ∠APQ = ∠PQR [ Alternate interior... View Article

Solve the following linear equation: (x – 5) /3 = (x – 3) /5

5(x – 5) = 3(x – 3) On cross multiplying we get 5x – 25 = 3x – 9 2x = 16 x = 8 Answer x = 8... View Article

Find the sum of the odd numbers between 0 and 50.

We have to find the sum of odd numbers between 0 and 50 The odd numbers between 0 and 50 are 1, 3, 5, 7, 9 … 49. Therefore, we can see... View Article

Show how √5 can be represented on the number line.

To represent √5 on number line let us follow the given procedure 1: Let us assume line AB be of 2 unit on a number line. 2: At B, draw a... View Article

All squares are not parallelograms. (True or False)

All squares are not parallelograms. . Ans: False Squares have similar property as Parallelogram. All squares are parallelograms as... View Article

In the Fig QR/QS = QT/PR and ∠1 = ∠2. Show that ΔPQS ~ ΔTQR.

Given that In ΔPQR, ∠PQR = ∠PRQ So PQ = PR .…(i) Also given QR/QS = QT/PR By using eq(i), we obtain, QR/QS = QT/QP... View Article

The longest chord of a circle is a _____________ of the circle.

The longest chord of a circle is a diameter of the circle. A circle is a closed two-dimensional figure in which the set of all... View Article

Rationalize the denominators of the following: 1/√7

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

In Fig, PR > PQ and PS bisect QPR. Prove that PSR > PSQ.

PQR > PRQ — (i) (Since PR > PQ as angle opposite to the larger side is always larger) QPS = RPS — (ii) (As PS bisects... View Article

In the figure, DE||AC and DF||AE. Prove that BF/FE = BE/EC

Proof In ΔABC, given as, DE || AC By using Basic Proportionality Theorem, we get, ∴BD/DA = BE/EC ............(i) In ΔABC,... View Article

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