Home
Class 12
MATHS
The positive integers p ,q and r are all...

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

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

The positive integers p ,q ,&r are all primes if p^2-q^2=r , then find all possible values of r

The positive integers p ,q ,a n dr are all primes if p^2-q^2=r , then find all possible values of rdot

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

lf r, s, t are prime numbers and p, q are the positive integers such that their LCM of p,q is r^2 t^4 s^2, then the numbers of ordered pair of (p, q) is (A) 252 (B) 254 (C) 225 (D) 224

lf r, s, t are prime numbers and p, q are the positive integers such that their LCM of p,q is r^2 t^4 s^2, then the numbers of ordered pair of (p, q) is (A) 252 (B) 254 (C) 225 (D) 224

If two positive integers a and b are expressible in the form a=p q^2 and b=p^3q ; p ,\ q being prime numbers, then LCM (a ,\ b) is (a) p q (b) p^3q^3 (c) p^3q^2 (d) p^2q^2

If two positive integers a and b are expressible in the form a =pq^2 and b=p^3q , p and q being prime numbers, then HCF (a,b) is a)pq b)p^3q^3 c)p^3q^2 d)p^2q^2

If P(2,\ 4),\ \ Q(0,\ 3),\ \ R(3,\ 6) and S(5,\ y) are the vertices of a parallelogram P Q R S , then the value of y is (a) 7 (b) 5 (c) -7 (d) -8

If p, q and r are integers, is pq+r even? (1) p+r is even. (2) q+r is odd.

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. All letters of the word 'RACHIT' are permuted in all possible ways ...

    Text Solution

    |

  2. The sum of the series 1+4+3+6+5+8+ upto n term when n is an even numbe...

    Text Solution

    |

  3. The positive integers p ,q and r are all primes if p^2 − q^2 = r , t...

    Text Solution

    |

  4. The marks of some students were listed out of a maximum 75. The SD ...

    Text Solution

    |

  5. If angles A,B, and C of a triangle ABC are in A.P. and if (b)/(c) = (s...

    Text Solution

    |

  6. If (x1, y1) be the centroid of the triangle formed by a line L and c...

    Text Solution

    |

  7. The value of sin^(-1) (cot(sin^(-1) sqrt((2 -sqrt3)/(4)) + cos^(-1)....

    Text Solution

    |

  8. Let I=int(kpi)^((k+1)pi)(|sin2x|)/(|sinx|+|cosx|)dx,(kepsilonN) and J=...

    Text Solution

    |

  9. The greatest integral value of m for which the point of intersection...

    Text Solution

    |

  10. The angle between the asymptotes of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 ...

    Text Solution

    |

  11. if lim(h->0) [f(a-h)/f(a)]=c where f(x) is a continuous function s...

    Text Solution

    |

  12. If the graph of non-constant function is symmetric about the point (3,...

    Text Solution

    |

  13. The expansion of (sqrt(x)+(1)/(2 root(4)(x)))^(n) is arranged in decr...

    Text Solution

    |

  14. if f(x)=x^x,x in (1,infty) and g(x) be inverse function of f(x) then g...

    Text Solution

    |

  15. The value of ( .^7C0 + ^7C1)+( .^7C1+ ^7C2)+....+(.^7C6+ ^7C7) is (A...

    Text Solution

    |

  16. If sin x + sin y =1/2 and cos x + cos y = 1 then tan (x + y)

    Text Solution

    |

  17. If the mean and variance of a binomial variate X are 7/3a n d(14)/9 re...

    Text Solution

    |

  18. If the value of x satisfying the equation sin^(-1)sqrt(1-x^2)=tan^...

    Text Solution

    |

  19. If the system of linear equations {:(x+2ay+az=0),(x+3by+bz=0),(x+4cy...

    Text Solution

    |

  20. For the equation 40/[x-1]-160/[x-4]-200/[x-5]+320/[x-8]=6x^2-27x (A)...

    Text Solution

    |