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... View Article
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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... 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... 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... 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... 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... 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 opposite sides... 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),... 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... 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, (1×√7)/(√7×√7) = √7/7... View Article
In Fig, PR > PQ and PS bisect QPR. Prove that PSR > PSQ.
Solution PQR > PRQ — (i) (Since PR > PQ as angle opposite to the larger side is always larger)... 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... 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... 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, 1/(√7-2)×(√7+2)/(√7+2) = (√7+2)/(√7-2)(√7+2)... 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, [1/(√7-√6)]×(√7+√6)/(√7+√6) = (√7+√6)/(√7-√6)(√7+√6)... 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... 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, [1/(√5+√2)]×(√5-√2)/(√5-√2) = (√5-√2)/(√5+√2)(√5-√2)... 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... 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... View Article
