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
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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... 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)... 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)= (3×2)+(3×√2)+(√3×2)+(√3×√2) (3+√3)(2+√2) = 6+3√2+2√3+√6 Answer (3+√3)(2+√2) = 6+3√2+2√3+√6
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... 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... 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... 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... 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... 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... 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... 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... 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... 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... 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... 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... 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... 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... View Article
All parallelograms are trapeziums. (True or False)
All parallelograms are trapeziums. Ans: True Trapezium consists of two parallel sides similar to parallelogram.
