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Find the values of p for which both the ...

Find the values of p for which both the roots of the equation `4x^2 - 20px + (25p^2 + 15p - 66) = 0` are less than 2.

A

`(4//5, 2)`

B

`(-1, -4//5)`

C

`(2, oo)`

D

`(-oo, -1)`

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Exercise
  1. If one root of x^(2) - x - k = 0 is square of the other, then k =

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  2. If a and b are the odd integers, then the roots of the equation, 2ax^2...

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  3. Find the values of p for which both the roots of the equation 4x^2 - 2...

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  4. The value of 'c' for which |alpha^(2) - beta^(2)| = 7//4, where alpha ...

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  5. The value of m for which one of the roots of x^(2) - 3x + 2m = 0 is do...

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  6. The equations ax^(2) + bz + a =0, x^(3) -2x^(2) +2x -1 =0 have tow roo...

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  7. The graph of the function y=16x^2+8(a+5)x-7a-5 is strictly above the x...

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  8. Solve for x :(5+2sqrt(6))^(x^2-3)+(5-2sqrt(6))^(x^2-3)=10.

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  9. The number of real roots of the equation 2x^(4) + 5x^(2) + 3 = 0, is

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  10. If x, a, b, c are real and (x-a+b)^(2)+(x-b+c)^(2)=0, then a, b, c are...

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  11. If the roots of the equation (a^2+b^2)x^2-2b(a+c)x+(b^2+c^2)=0 are e...

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  12. If a, b,c are all positive and in HP, then the roots of ax^2 +2bx +c=0...

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  13. If the equation ax^(2)+2bx-3c=0 has no real roots and ((3c)/(4))lta+b,...

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  14. If the roots of the equation x^2+2a x+b=0 are real and distinct and th...

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  15. |[1,cos(alpha-beta), cos alpha] , [cos(alpha-beta),1,cos beta] , [cos ...

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  16. Let alpha "and " beta be the roots of the equation ax^(2)+bx+c=0. Let ...

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  17. ifa=cos(2pi//7)+isin(2pi//7) , then find the quadratic equation whose ...

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  18. The integral value of for which the root of the equation m x^2+(2m-1)x...

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  19. If (1+k) tan^(2) x - 4 tan x-1 + k = 0 has real roots, then which one ...

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  20. If the sum of squares of roots of equation x^(2)-(sin alpha-2)x-(1+sin...

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