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In the figure, DE||OQ and DF||OR, show that EF||QR.

Proof Given that In ΔPQO, DE || OQ By using Basic Proportionality Theorem, PD/DO = PE/EQ……(i) Also given that In... View Article

In Fig. if AB DE, BAC = 35° and CDE = 53°, find DCE.

AB || DE,∠BAC = 35° and ∠CDE = 53° We know that AE is a transversal of AB and DE BAC and AED are alternate interior... View Article

In the figure, if ΔABE ≅ ΔACD, show that ΔADE ~ ΔABC.

Given Given, ΔABE ≅ ΔACD. To Prove ΔADE ~ ΔABC Proof Given, ΔABE ≅ ΔACD. By CPCT, we have ∴... View Article

Solve the following equation: (3y + 4) /(2 – 6y) = -2/5

(3y + 4)/(2 – 6y) = -2/5 ⇒ 3y + 4 = -2/5 (2 – 6y) ⇒ 5(3y + 4) = -2(2 – 6y) ⇒ 15y + 20 = -4 + 12y Rearranging... View Article

Simplify the following expression: (i) (3 + √3) (2 + √2)

(i) (3+√3)(2+√2) On opening and solving the brackets, we get, (3+√3)(2+√2)=... View Article

In a ∆ABC, ∠ C = 3 ∠ B = 2 (∠A + ∠ B) . Find the three angles.

Given ∠C = 3 ∠B = 2(∠B + ∠A) Find out The angles of traingle ∠B = 2 ∠A+2 ∠B ∠B=2 ∠A ∠A – ∠B= 0-... View Article

If P(E) = 0.05, what is the probability of ‘not E’?

Probability of not happening an event is equal to 1 minus probability of happening an event. We know that, P(E)+P(not E) = 1 It is given that,... View Article

Find the square root of 900 by Division method.

Solution We have to find the square root of 900 by the long division method ∴ √900 = 30 Answer √900 =30... View Article

Find the square root of 576 by Division method.

Solution We have to find the square root of 576 by the long division method ∴ √576 = 24 Answer √576 = 24... View Article

Find the square root of 529 by Division method.

Solution We have to find the square root of 529 by the long division method ∴ √529 = 23 Answer √529 = 23... View Article

All rhombuses are parallelograms. (True or False)

All rhombuses are parallelograms. Ans: True A parallelogram has opposite sides parallel and equal in length. Here the opposite angles are equal.... View Article

In Fig., AC = AE, AB = AD and BAD = EAC. Show that BC = DE.

Solution Given AC = AE, AB = AD ∠BAD = ∠EAC To Prove Line segment BC and DE are similar i.e. BC = DE Proof ∠BAD = ∠EAC On adding ∠DAC on... View Article

Find the square root of 3136 by Division method.

Solution We have to find the square root of 3136 by the long division method ∴ √3136 = 56 Answer √3136 =56... View Article

Find the square root of 1024 by Division method.

Solution We have to find the square root of 1024 by the long division method ∴ √1024 = 32 Answer √1024 =32... View Article

Find the square root of 7921 by Division method.

Solution We have to find the square root of 7921 by the long division method ∴ √7921 = 89 Answer √7921 = 89... View Article

Find the square root of 5776 by Division method.

Solution We have to find the square root of 5776 by the long division method ∴ √5776 = 76 Answer √5776 = 76... View Article

Find the square root of 3249 by Division method.

Solution We have to find the square root of 3249 by the long division method ∴ √3249 = 57 Answer √3249 = 57... View Article

Find the square root of 3481 by Division method.

Solution We have to find the square root of 3481 by the long division method ∴ √3481 = 59 Answer √3481 = 59... View Article

Find the square root of 4489 by Division method.

Solution We have to find the square root of 4489 by the long division method ∴ √4489 = 67 Answer √4489 = 67... View Article

All parallelograms are trapeziums. (True or False)

All parallelograms are trapeziums. Ans: True Trapezium consists of two parallel sides similar to parallelogram.... View Article