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Which of the following is /are always fa...

Which of the following is /are always false?

A

A quadratic equation with rational coefficients has zero or two irrational roots

B

A quadratic equation with real coefficients has zero or two non-real roots

C

A quadratic equation with irrational coefficients has zero or two rational roots

D

A quadratic equation with integer coefficients has zero or two irrational roots

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2015-MULTIPLE CHOICE QUESTIONS
  1. A person goes to office by car or scooter or bus or train, probability...

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  2. The value of int((x-2)dx)/({(x-2)^(2)(x+3)^(7)}^(1//3))is

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  3. In a triangle ABC, angleC=90^(@) , r and R are the in-radius and circu...

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  4. Let alpha,beta be two distinct roots of acostheta+bsintheta=c, where a...

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  5. For a matrix A((1,0,0),(2,1,0),(3,2,1)) if U(1),U(2) and U(3) are 3xx1...

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  6. Let f:RtoR be differentiable at x=0. if f(0)=0 and f'(0)=2 , then the ...

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  7. If x and y are digits such that 17!""=3556xy428096000, then x+y equals

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  8. Let f:NtoR be such that f(1)=1 and f(1)+2f(2)+3f(3)+.........+nf(n)=n(...

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  9. If 5 distinct balls placed at random into 5 cells, then the probabilit...

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  10. A survey of people in a given region showed that 20% were smokers. The...

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  11. If cos x and sin x are solutions of the differential equation a(0)(d^(...

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  12. Which of the following statements is /are correct for 0ltthetalt(pi)/(...

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  13. Which of the following is /are always false?

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  14. If the straight (a-1)x-by+4=0 is normal to the hyperbola xy=1 then whi...

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  15. Let f be any-continuously differentiable function on [a,b] and twice d...

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  16. A relation rho on the set of real number R is defined as follows : xrh...

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  17. Suppose a machine produces metal parts that contain some defective par...

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  18. Let f:RtoR be such that f(2x-1)=f(x) for all x""inR. If f is continuou...

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  19. Let 16x^(2)-3y^(2)-32x-12y=44 represent a hyperbola. Then

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  20. For the function f(x)=[(1)/[[x])] where [x] denotes the greatest less ...

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