Home
Class 12
MATHS
If Pa n dQ are sum and product respectiv...

If `Pa n dQ` are sum and product respectively of all real values of `x` satisfying the equation `|2-|x-2||=3` , then `|P|+|Q|=71` b. `|P|+|Q|=127` c. `|P+Q|=142` d. `|P|+|Q|=142`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If p , qr are real and p!=q , then show that the roots of the equation (p-q)x^2+5(p+q)x-2(p-q=0 are real and unequal.

If p and q are positive real numbers such that p^2+q^2=1 , then the maximum value of p+q is

If p ,q are real p!=q , then show that the roots of the equation (p-q)x^2+5(p+q)x-2(p-q)=0 are real and unequal.

If p and q are the roots of the equation x^2-p x+q=0 , then (a) p=1,\ q=-2 (b) p=1,\ q=0 (c) p=-2,\ q=0 (d) p=-2,\ q=1

If 2+sqrt(3)i is a root of the equation x^2+p x+q=0 , then write the values of p\ a n d\ q .

If p a n d q are positive, then prove that the coefficients of x^pa n dx^q in the expansion of (1+x)^(p+q) will be equal.

If the sum of odd terms and the sum of even terms in (x + a)^n are p and q respectively then p^2 - q^2 =

If the sum of odd terms and the sum of even terms in the expansion of (x+a)^n are p and q respectively then p^2+q^2=

T P and T Q are tangents to the parabola y^2=4a x at Pa n dQ , respectively. If the chord P Q passes through the fixed point (-a ,b), then find the locus of Tdot

In the quadratic equation x^2+(p+i q)x+3i=0,p&q are real. If the sum of the squares of the roots is 8 then: p=3,q=-1 b. p=3,q=1 c. p=-3,q=-1 d. p=-3,q=1

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If A+B+C=0 , then the value of sin^2A+cosC(cosAcosB-cosC)+cosB(cosAcos...

    Text Solution

    |

  2. If x=3-sqrt(8), then x^3+1/(x^3) is equal to (a)6 (b) 198 (c) 6sqrt(2)...

    Text Solution

    |

  3. If Pa n dQ are sum and product respectively of all real values of x sa...

    Text Solution

    |

  4. A 3-digit number has, from left to right, the digits a, b and c with a...

    Text Solution

    |

  5. If A , B , C are three real numbers and p=[A+B+C] and q=[A]+[B]+[C]dot...

    Text Solution

    |

  6. Find tha value of the expression 2/log4(2000)^6+3/log5(2000)^6

    Text Solution

    |

  7. If b^2>4a c then roots of equation a x^4+b x^2+c=0 are all real and di...

    Text Solution

    |

  8. If a x^2+b x+6=0 does not have distinct real roots, then find the leas...

    Text Solution

    |

  9. log(3)(1+(1)/(3))+log(3)(1+(1)/(4))+log(3)(1+(1)/(5))+..+log(3)(1+(1)/...

    Text Solution

    |

  10. If [x]=[pi] , where [.] denotes greatest integer function, then (a) x ...

    Text Solution

    |

  11. The number of real solutions of equation x^(log(x)2)+x^(2)=3x is

    Text Solution

    |

  12. If log(10)(x-1)3-3log(10)(x-3)=log(10)8,then log(x)625 has the value e...

    Text Solution

    |

  13. If log (10)xlog 15-a and log75-b, then log(75)45 is:

    Text Solution

    |

  14. If x=underset(n=1)overset(2000)prodn, then the value of the expression...

    Text Solution

    |

  15. The sum of [1/2]+[1/2+1/(2000)]+[1/2+2/(2000)]+[1/2+3/(2000)]++[1/2+(1...

    Text Solution

    |

  16. The complete solution set of the inequation, -2<[x+2]lt=5w h e r e[dot...

    Text Solution

    |

  17. Let N=(log(3)135)/(log(15)3)-(log(3)5)/(log(405)3). Then N is

    Text Solution

    |

  18. Two consecutive vertices of a rectangle of area 10u n i t s^2 are (1, ...

    Text Solution

    |

  19. The coordinates of the midpoints of the sides of a triangle A B C are ...

    Text Solution

    |

  20. If the equation a x^2+2b x-3c=0 has no real roots and ((3c)/4)<1+b , t...

    Text Solution

    |