Q. In the given triangle ABC, AD is perpendicular to BC, and CE is perpendicular to AB. Prove that angle BDE = angle BAC.
S.E.E. Solution
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Soln: i) ACDE is a cyclic quadrilateral. i) Ð AEC = Ð ADC = 90 degree (Angles in the same segment of a circle are equal.) ...
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Bibha said to Bigyata," I'm twice as old as you were when I was as old as you are.". If the sum of their present age is 35 years. Find the present ages.
Soln:
... 
In the given figure, O is the centre of circle. If ED||AC and angle EBC = 60, find the measure of angle DEC.
Soln:
i. Angle EAC = Angle EBC = 60 [Inscribed angle standing on the same arc EC]
ii. Angle AEC = 90 [An angle at the semi c ... 
Q.Factorize: (a^2 - 1)(b^2-1) + 4ab?
(a^2-1)(b^2-1)+4ab
= a^2 b^2 - a^2 - b^2 +1+ 4ab
Now break 4ab into 2ab+2ab
= a^2 b^2 - a^2 - b^2 +1+ 2ab ... 
Q. A dealer sold a photocopy machine for Rs. 4,20,000 plus adding 13% VAT to the retailer. If the retailer spent Rs. 2,500 on transportation cost, Rs. 4,000 on local tax and made Rs. 20,000 profit and then supplied to a customer, how much did the customer pay the VAT amount at the present rate of VAT?
Soln:
... A computer was bought for Rs. 44100. Its value is reduced by Rs. 4100 in 2 years, find the rate of depreciation.
Soln:
... A complete solution for SEE students.
