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In the equation x^2-px+q=0 ratio of the ...

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

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

If the sum of the two roots of the quadratic equation x^2-px+q=0 be the thrice of their difference then prove that 2p^2=9q

If the ratio of the roots of the equation x^2-2px+q^2=0 be equal to the ratio of the roots of the equation x^2-2rx+s^2=0 , Prove that, p^2s^2=q^2r^2 .

If the ratio of the roots of the equation x^2+p x+q=0 are equal to ratio of the roots of the equation x^2+b x+c=0 , then prove that p^2c=b^2qdot

If the ratio of the roots of the quadratic equation x^(2)-px+q=0 be 2:3, then prove that 6p^(2)=25q .

If the roots of the equation px^2+rx+r=0 are in the ratio a:b , prove that , p(a+b)^2=rab .

If the equation x^2+px+qr=0 and x^2+qx+pr=0(p!=q,r!=0) has same root then prove that p+q+r=0

If the sum of the roots of the equation x^2-px+q=0 be three times their difference show that, 2p^2=9q .

If one of the root of the equation px^2 + qx + r = 0 is the cube of the other, prove that. rp(r + p)^2 = (q^2 - 2rp)^2 .

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 4
  1. If vectors vecalpha,vecbeta, vecgamma are such that vecalpha+vecbeta+...

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  2. If hati+hatj+hatk, 2hati +5hatj, 3 hati+2hatj-3hatk and hati-6hatj-h...

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

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  4. If the probability that a randomly selected bulb produced by a factory...

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  5. If veca=hati+3hatj+hatk, vecb=2hati-hatj-hatk and vec c=m hati+7hatj+...

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  6. The direction cosines of the line which is perpendicular to the lines ...

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  7. The cosine of the angle between the lines vecr=3hati+2hatj-4hatk+lam...

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  8. The coordinates of the point of intersection of the lines vecr=(hati+...

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  9. The value of a for which the lines (x-5)/(5a+2)=(2-y)/(5)=(1-z)/(-1) ...

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  10. The equation of the plane passing through the point (1, -3, -2) and pe...

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  11. If a, b be two fixed positive integers such that f(a+x)=b+[b^(3)+1-3...

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  12. The derivative of the function (sec x+tan x)/(sec x-tanx) is -

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  13. If y=sin x^(@) and z=log(10)x, then the value of ( dy)/(dz) is -

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  14. The value of (d)/(dx) [ tan^(-1){(sqrt(x) (3-x))/(1-3x)}] is -

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  15. If x=sin t and y=cos p t, then which of the following is true ?

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  16. In the mean value theorem f(b)-f(a)=(b-a)f'(c )(a lt c lt b), if a=4,...

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  17. If the function f(x)=4x^(3)+ax^(2)+bx-1 satisfies all the conditions ...

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  18. The value of lim(x to 0)(e^(x)-log(e+ex))/(x) is -

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  19. Let f(x) ={{:((1-sin x)/(pi-2x)",","when" x ne (pi)/(2)),(lamda ",","w...

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  20. If (sqrt(x))^((sqrt(x))^((sqrt(x))^(...oo))) and x(dy)/(dx) =(f(y))/...

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