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The integer k for which the inequalit...

The integer k for which the inequality ` x^2 - 2 (4k -1) x+ 15 k^2 -2k -7 gt 0` is valid for any x, is

A

2

B

3

C

4

D

6

Text Solution

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The correct Answer is:
B
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ARIHANT SSC-THEORY OF EQUATIONS-EXERCISE(LEVEL 1)
  1. If x=(sqrt(3)+1)/(sqrt3-1)andy=(sqrt3-1)/(sqrt3+1),"then "x^(2)+y^(2) ...

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  2. The values of the parameter a for which the quadratic equations (1 – 2...

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  3. The integer k for which the inequality x^2 - 2 (4k -1) x+ 15 k^...

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  4. The values of a for which the equation 2x^(2) -2(2a+1) x+a(a+1) = 0 ma...

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  5. The condition that x^(3)-ax^(2)+bx-c=0 may have two of its roots equal...

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  6. If the roots of ax^(2) + bx + c = 0 (a gt 0) be each greater than unit...

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  7. The number of real solutions of x-1/(x^2-4)=2-1/(x^2-4) is equal to

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  8. The number of real solutions of equation 2^(x/2)+(sqrt2+1)^x=(5+2sqrt2...

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  9. If x y=2(x+y),xlt=ya n dx ,y in N , then the number of solutions of t...

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  10. The quadratic equation ax^(2)+bx+c=0 has real roots if:

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  11. The equation |x+1||x-1|=a^(2) - 2a - 3 can have real solutions for x, ...

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  12. p, q, r in R and k is a prime number such that p+qk^(1//3)+rk^(2//3)=0...

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  13. The set of values of p for which the expression x^(2) −2px+3p+4...

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  14. For a<0, deterine all real roots of the equation x^2-2a|x-a|-3a^2=0.

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  15. The average of five consecutive even numbers is 40. What is the smalle...

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  16. Solve : (5+2sqrt6)^(x^(2)-3) +(5-2sqrt6)^(x^(2)-3) = 10

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  17. If a, b in {1, 2, 3, 4}, then the number of quadratic equations of the...

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  18. The minimum value of the expression a+(1)/(a), a gt0 is :

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  19. If a^2+b^2+c^2=1 then ab+bc+ca lies in the interval

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  20. The number of integral value(s) of x satisfying the equation ∣ ∣ ∣ ​...

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