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Let x ,y ,z ,t be real numbers x^2+y^2=...

Let `x ,y ,z ,t` be real numbers `x^2+y^2=9, z^2+t^2=4`, and `xt-y z=6` Then the greatest value of `P=xz` is a. 2 b. 3 c. 4 d. 6

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If the equation |x^2+b x+c|=k has four real roots, then a. b^2-4c > 0...

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  2. If P(x) is a polynomial with integer coefficients such that for 4 dist...

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  3. Let x ,y ,z ,t be real numbers x^2+y^2=9, z^2+t^2=4, and xt-y z=6 Th...

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  4. If a ,b ,c are distinct positive numbers, then the nature of roots of ...

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  5. If (b^2-4a c)^2(1+4a^2)<64 a^2, a<0 , then maximum value of quadratic ...

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  6. For x^2-(a+3)|x|+4=0 to have real solutions, the range of a is a. (-oo...

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  7. Find the number of integal values of x satisfying sqrt(-x^2+10x-16)...

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  8. If x^(2) +ax - 3x-(a+2) = 0 has real and distinct roots, then minimum ...

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  9. Let alpha+ibeta;alpha,beta in R , be a root of the equation x^3+q x+r...

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  10. In equation x^4-2x^3+4x^2+6x-21=0 if two its roots are equal in magn...

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  11. If alpha,beta,gamma are the roots of the equation x^3+p x^2+q x+r=0, t...

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  12. The equation x^3+5x^2+px+q=0 and x^3+7x^2+px+r=0 have two roots in com...

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  13. If alpha,beta,gamma are the roots of he euation x^3+4x+1=0, then find ...

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  14. If the roots of the equation x^3+P x^2+Q x-19=0 are each one more that...

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  15. If a ,b ,p ,q are non zero real numbers, then how many comman roots wo...

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  16. If x^2+p x+q=0a n dx^2+q x+p=0,(p!=q) have a common roots, show that 1...

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  17. a,b,c are positive real numbers forming a G.P. If ax^2+2bx+c=0and d...

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  18. If equations x^2+a x+12=0. x^2+b x+15=0a n dx^2+(a+b)x+36=0, have a co...

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  19. If x is real and the roots of the equation a x^2+b x+c=0 are imaginary...

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  20. Solve (x^2+2)^2+8x^2=6x(x^2+2)

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