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In the equation px^2+rx+r=0 ratio of the...

In the equation `px^2+rx+r=0` ratio of the roots are `a:b`then prove that `p(a+b)^2=rab`

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In the equation x^2-px+q=0 ratio of the roots are 2:3 ,then prove that 6p^2=25q

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In the equation x^2-px+q=0 one root is twice of other then prove that 2p^2=9q

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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 3
  1. State which one of the following is true -

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  2. If cos^(-1) sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1) sqrt(1-q)=(3pi)/(4), t...

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  3. In the equation px^2+rx+r=0 ratio of the roots are a:bthen prove that...

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  4. If n and p are two parameters of binomial distribution then its stand...

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  5. If the cartesian equation of a line AB is (x-1)/(2)=(2y-1)/(12)=(z+5...

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  6. The straight line (x-3)/(2)=(y+4)/(0)=(z-2)/(5) is perpendicular to ...

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  7. The angle between the lines -6x=y=4z and 2x=3y=-z is -

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  8. The shortest distance between the lines whose vector equations are ve...

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  9. Two events A and B are such that P(A)=(1)/(4), P(B//A)=(1)/(2) and P(...

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  10. The probability that a regularly scheduled flight departs on time is ...

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  11. A sample of 4 items is drawn at random from a lot of 10 items, contain...

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  12. A and B are two independent events such that P(A)=(1)/(2) and P(B)=(...

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  13. If n things are arranged at random in a row then the probability that ...

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  14. If A=[(3,5),(2,0)] and B=[(1,17),(0,-10)] then |AB| is equal to -

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  15. The inverse of the matrix [(5,-2),(3,1)] is -

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  16. If A(i)=[(a^(i),b^(i)),(b^(i),a^(i))] and |a| lt 1,|b| lt 1 then the ...

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  17. If A is a singular matrix of order n then A*(adj A) is equal to -

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  18. If the determinant of the matrix [(a(1),b(1),c(1)),(a(2),b(2),c(2))...

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  19. If |(x-2,2x-3,3x-4),(x-4,2x-9,3x-16),(x-8,2x-27,3x-64)|=0, then the va...

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  20. If a, b, c, d , e and f are in G.P. then the value of |("a"^(2),"d"^(...

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