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The quadratic equations x^2""-6x""+""a...

The quadratic equations `x^2""-6x""+""a""=""0""a n d ""x^2""-c x""+""6""=""0` have one root in common. The other roots of the first and second equations are integers in the ratio 4 : 3. Then the common root is

A

2

B

1

C

4

D

3

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MODERN PUBLICATION-LINEAR INEQUATIONS-EXERCISE
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  2. How many real solutions does the equation x^(7)=14x^(5)+16x^(3)+30x-56...

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  3. The quadratic equations x^2""-6x""+""a""=""0""a n d ""x^2""-c x""+""...

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  4. Let z=x+iy be a complex number, where x and y are integers and i=sqrt(...

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  5. If |z-4/z|=2 then the greatest value of |z| is:

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  6. If the roots of the equation b x^2+""c x""+""a""=""0 be imaginary, t...

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  7. The number of complex numbersd z, such that abs(z-1)=abs(z+1)=abs(z-i)...

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  8. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+tz(2...

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  9. Let alpha and beta be real and z be a complex number. If z^(2)+az+beta...

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  10. If omega( ne 1) is a cube root of unity and (1+omega)^(7)=A+bomega, th...

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  11. By Mathematical Induction, prove that : n! <((n+1)/2)^n , n>1.

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  12. By Mathematical Induction, prove that : (1+1/n)^n len for all nge3.

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  13. By Mathematical Induction, prove the following : (4^n+ 15n -1) is di...

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  14. Given n^4 <10^n for a fixed integer nge 2. Prove that (n+1)^4 <10^(n+1...

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  15. When P is natural number , then P^(n+1)+(P+1)^(2n-1) is divisible by

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  16. Using Mathematical Induction, prove that : "^mC0 ^nCk+ ^mC1 ^nC(k-1)+....

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  17. If x is not an integral multiple of 2 pi, use Mathematical Induction t...

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  18. Find theta such that (3+2i sin theta)/(1-2i sin theta) is purely real.

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  19. Find all circles which are orthogonal to |z|=1and|z-1|=4.

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  20. If the complex variables z1,z2 and origin form an equilateral triangle...

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