Q.1. Find the ratio of 250 kg to 3500 g.
Q.2. Convert into percent 49/50.
Q.3. In a school 32 % are girls.
Find the percentage of boys.
Q.4. Find :
(a) 45 % of 900 km
(b) 8 % of 720 litres
Q.5. What percentage of 372 marks out of 500.
Q.6. If the angles of triangle are in the ratio 2:3:4. Find all angles .
Q.7. In a garden the ratio of apple, mango and bananas trees are 6:7:12. If the total number of trees are 1600. Find the percentage of each type of trees. Find the number of Banana trees .
Q.8. Arun bought a washing machine for ₹ 15000 and sell it at a profit of 25 % . How much money do we get for it .(Selling price).
Q.9. Meena sell are refrigerator for ₹23.500 and she loses 20 % . Find the cost price of refrigerator.
Q.10. If principal = ₹1200 , Rate = 6 % , Time = 3 years. Find the amount and interest .
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Answer:
This implies that
x2+2ax=4x−4a−13
or
x2+2ax−4x+4a+13=0
or
x2+(2a−4)x+(4a+13)=0
Since the equation has just one solution instead of the usual two distinct solutions, then the two solutions must be same i.e. discriminant = 0.
Hence we get that
(2a−4)2=4⋅1⋅(4a+13)
or
4a2−16a+16=16a+52
or
4a2−32a−36=0
or
a2−8a−9=0
or
(a−9)(a+1)=0
So the values of a are −1 and 9.
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