11/25/13 IMO 2013 eQuiz 1 - Week 4 - Class 10 | equiz

www.sofworld.org/equiz/node/9722/take 1/2

Score 1 of 1

Score 1 of 1

Score 1 of 1

IMO 2013 eQuiz 1 - Week 4 - Class 10You got 3 of 3 possible points.

Your score: 100 %

You cracked it!

Question Results

Question:

If sin (A+B+C)=1, then tan (A-B)=1/(3)1/2 and sec (A+C) =2, then

Response:

A=500

B=00

B=900

C=00

Question:

If α,β,γ are the zeroes of the polynomial f (x) = x3-5x2-2x+24 such that αβ=12, then

Response:

α + β=6

α - β=2

α - β= -2

γ=-2

Question:

If the coefficient of z in the quadratic equation z2 + az + b = 0 is taken as 18 in place of 12 and its roots were found to be -16 and -2.

The roots of the original equation are

Response:

19800

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11/25/13 IMO 2013 eQuiz 1 - Week 4 - Class 10 | equiz

www.sofworld.org/equiz/node/9722/take 2/2

eQuiz by SOF World.

-12 and - 6

-14 and - 4

- 8 and - 4

-16 and - 2