Home
Class 12
MATHS
If (1+3+5+7+…. (2p-1)) + (1+3+5+…..+ (2q...

If (1+3+5+7+…. (2p-1)) + (1+3+5+…..+ (2q-1)) = 1+3+5 +….+ (2r-1) , then least possible value of p+q+r (Given p > 5) is :

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

Consider the equation p = 5-2q - 3 If p = 4 then possible values of q are

If p is an integer such that -5ltplt5 and q=3p-p^(3) , what is the least possible value of q?

Consider the equation p = 5-2q - 3 Greatest sat of all possible values of p for q in R is

The vertices of triangle are A(-5,3),B(p-1) and C(6,q). If the centroid of the DeltaABC is (1,-1) , then the values of p and q are (i) p=-2,q=5 (ii) p=2,q=-5 (iii) p=3,q=5 (iv) p=-5,q=2

The positive integers p ,q and r are all primes if p^2 − q^2 = r , then possible value of r is 3 (b) 5 (c) 7 (d) 1

Find the value of : 2p + 3q + 4r + por when p =-1,q = 2 and r = 3

If "^(2n+1)P_(n-1):^(2n-1)P_n=3:5, then find the value of n .

If p = 3 , q = 2 and r = -1, find the values of (3p^(2)q+5r)/(2pq-3qr)

The positive integers p ,q and r all are prime if p^2-q^2=r , then possible value of r is 3 (b) 5 (c) 7 (d) 1

If p : q = 1(1)/(3) : 1(1)/(2) and q : r = (1)/(2) : (1)/(3) , find p : r

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If t(r)=(1^(2)+2^(2)+3^(2)+….+r^(2))/(1^(3)+2^(3)+3^(3)+…+r^(3)), S(n)...

    Text Solution

    |

  2. The area of the closed figure bounded by x=-1,x=2,a n d y={-x^2+2,xlt...

    Text Solution

    |

  3. If (1+3+5+7+…. (2p-1)) + (1+3+5+…..+ (2q-1)) = 1+3+5 +….+ (2r-1) , the...

    Text Solution

    |

  4. The interval [a ,b] such that the value of inta^b(2+x-x^2)dx is maxi...

    Text Solution

    |

  5. A curve C passes through (2,0) and the slope at (x , y) as ((x+1)^2...

    Text Solution

    |

  6. Let f(x)=int(1)^(x) sqrt(2-t^(2)) dt, then the real roots of the equa...

    Text Solution

    |

  7. Let f(x): R^+ to R^+ is an invertible function such that f^(prime)(...

    Text Solution

    |

  8. Find the coordinates of a point on the parabola y=x^2+7x+2 which is cl...

    Text Solution

    |

  9. Every body in a room shakes hands with every body else. The total numb...

    Text Solution

    |

  10. Area of figure represented by |x|+|y| <=3 and y^2 <= 4x is a....

    Text Solution

    |

  11. How many numbers divisible by 5 and lying between 4000 and 5000 can be...

    Text Solution

    |

  12. The gradient of the common tangent to the two curves y=x^2-5x+6 and y=...

    Text Solution

    |

  13. The tangent at the point P on the rectangular hyperbola x y=k^2 with C...

    Text Solution

    |

  14. The value of (int0^(pi//2)(sin x)^(sqrt(2)+1)dx)/(int0^(pi//2)(sin x)^...

    Text Solution

    |

  15. The hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through the point (2, )...

    Text Solution

    |

  16. If I(n)=int(0)^(pi//4) tan^(n)x dx, (ngt1 is an integer ), then (a) I(...

    Text Solution

    |

  17. The omega!= 1 is nth root unity, then value of sum(k=0)^(n-1)|z1+omega...

    Text Solution

    |

  18. The number of integral values of m for which the x-coordinate of the p...

    Text Solution

    |

  19. If tangent and normal to the curve y=2sinx+sinx2x are drawn at p(x=(pi...

    Text Solution

    |

  20. P and Q have position vectors a and b relative to the origin O and X,Y...

    Text Solution

    |