If xy = 48 and $x^{2} + y^{2} = 100$, then (x + y) is1). 122). 163). 184). 14
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1. Chords AB and CD of a circle intersect at E. If AE = 9 cm, BE = 12 cm and CE = 3DE, then the length of DE (in cm) is
2. The radius of the incircle of the equilateral triangle having each side 6 cm is
3. Monica has some Apples with her. She eats 2 more than half of her Apples every day. After eating the Apples, she is given four more Apples every day. After 2 days, she is left with 53 Apples. How many Apples she had in beginning?
4. If a + b = 10 and $a^2$ + $b^2$ = 58, then find ab
5. What approximate value will come in place of the question mark (?) in the following questions ? (You are not expected to calculate the exact value).
6. O is the incentre of $\triangle PQR$ and $\angle QPR$ = $50^{0}$ , then the measure of $\angle QOR$ is :
7. In the following question two equations are given. You have to solve these equations and determine relation between x and y. I. x2 + 22x – 104 = 0 II. y2 + 31y – 140 = 0
8. In each of the questions a pair of equations is given. You have to find out the values of x and y and give answer.
9. The 7th and 12th term of an arithmetic progression are -15 and 5 respectively. What is the 16th term?
10. DirectionⶠIn the following question, two equations numbered I and II are given. You have to solve both the equation and given answer. I. 21x - 4√x - 25 = 0 II. 30y - 55√y + 20 = 0
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