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The roots of the equation (a^2+b^2)x^2-2...

The roots of the equation `(a^2+b^2)x^2-2(b c+a d)x+(c^2+d^2)=0` are equal if

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The roots of the equation (a^(2)+b^(2))x^(2)-2(bc+ad)x+(c^(2)+d^(2))=0 are equal if

If the roots of the equation (a^(2)+b^(2))x^(2)-2(ac+bd)x+(c^(2)+d^(2))=0 are equal,prove that (a)/(b)=(c)/(d)

If the roots of the equation (a^2+b^2)x^2-2b(a+c)x+(b^2+c^2)=0 are equal, then 2b=a+c (b) b^2=a c (c) b=(2a c)/(a+c) (d) b=a c

If the roots of the equation (a^(2)+b^(2))x^(2)-2(ac+bd)x+(c^(2)+d^(2))=0 are real where a,b,c,d in R ,then they are Rational Irrational Equal unequal

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The roots of the equation (b-c)x^(2)+(c-a)x+(a-b)=0

If the roots of the equation (a^(2) + b^(2))x^(2) - 2(ac + bd) x + (c^(2) + d^(2)) = 0 are equal prove that (a)/(b) = (c )/(d)

Let a,b,c , d ar positive real number such that a/b ne c/d, then the roots of the equation: (a^(2) +b^(2)) x ^(2) +2x (ac+ bd) + (c^(2) +d^(2))=0 are :

A DAS GUPTA-Equations, Inequation and Expressions-Exercise
  1. The number of interal values of m for which the equation (1+m^(2))x^(2...

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  2. if the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal then...

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  3. The roots of the equation (a^2+b^2)x^2-2(b c+a d)x+(c^2+d^2)=0 are equ...

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  4. If a ,b ,c(a b c^2)x^2+3a^2c x+b^2c x-6a^2-a b+2b^2=0 ares rational.

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  5. Show that if p,q,r and s are real numbers and pr=2(q+s), then atleast ...

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  6. If a x^2+(b-c)x+a-b-c=0 has unequal real roots for all c in R ,t h e ...

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  7. -If a,b,c in R then prove that the roots of the equation 1/(x-a)+1/(x-...

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  8. If the equations ax + by = 1 and cx^2 +dy^2=1 have only one solution, ...

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  9. If a,b,c are odd integere then about that ax^2+bx+c=0, does not have r...

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  10. Show that the equation e^(sinx)-e^(-sinx)-4=0 has no real solution.

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  11. 14 For what values of p, the roots of the equation 12(p+2)x^2-12(2p-1)...

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  12. If the ratio of the roots of the equation lx^2+nx+n=0 is p:q prove tha...

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  13. If one root of equation (l-m) x^2 + lx + 1 = 0 be double of the other ...

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  14. if the roots of the equation 1/ (x+p) + 1/ (x+q) = 1/r are equal in ma...

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  15. If one root of the quadratic equation ax^(2)+bx+c=0 is equal to the ...

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  16. If a,b,c are in G.P. then the roots of the equation a x^2 + bx + c = 0...

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  17. Let a gt 0, b gt 0 then both roots of the equation ax^(2)+bx+c=0

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  18. If alpha is a root of the equation x^2+2x-1=0, then prove that 4alpha^...

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  19. If alpha, beta are the roots of the equations x^2+px+q=0 then one of t...

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  20. Let a and b be roots of x^2-3x+p=0 and let c and d be the roots of x^...

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