Home
Class 12
MATHS
If LdotCdotM of two positive numbers...

If `LdotCdotM` of two positive numbers `aa n db` is `p^3q^2r` where `p ,q ,r` are distinct prime number then find the number of ordered pair of `(a ,b)dot` a.`24` b. `72` c. `90` d. `105`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If p,q,r be three distinct real numbers, then the value of (p+q)(q+r)(r+p), is

If p,q,r,s,t be distinct primes and N=pq^(2)r^(3)st , then

If two positive integers p and q can be expressed as p=ab^2 and q=a^3b where a and b are prime numbers, then the LCM (p,q) is

If r,s,t are prime numbers and p,q are the positive integers such that LCM of p,q is r^(2)s^(4)t^(2) , then the number of ordered pairs (p,q) is:

If two positive integers P and q can be expressed as p=a^2b^3 and q=a^4 b,ab being prime numbers then LCM (p,q) is……

r, s, t are prime numbers and p, q are natural numbers such that LCM of p, q is r^(2)" "s^(4)" "t^(2) , then the number of ordered pairs (p,q) is

The point P(a,b), Q(c,d), R(a,d) and S(c,b) , where a,b,c ,d are distinct real numbers, are

RESONANCE DPP-JEE MAINS-All Questions
  1. Let P M be the perpendicular from the point P(1,2,3) to the x-y pla...

    Text Solution

    |

  2. Tangents PA and PB are drawn to the circle x^2+y^2=4,then locus of the...

    Text Solution

    |

  3. If LdotCdotM of two positive numbers aa n db is p^3q^2r where p ...

    Text Solution

    |

  4. Find the equation of the circle which is touched by y=x , has its cent...

    Text Solution

    |

  5. If g(x)=(4cos^4x-2cos2x-1/2cos4x-x^7)^(1/7) then the value of g(g(100)...

    Text Solution

    |

  6. A(1, 2) and B(7, 10) are two points. If P(x) is a point such that the ...

    Text Solution

    |

  7. The line y=x is tangent at (0, 0) to a circle of radius 1. The centre ...

    Text Solution

    |

  8. If H is the orthocenter of DeltaABC and if AH = x, BH = y, CH = z, t...

    Text Solution

    |

  9. C1 and C2 are fixed circles of radii r1 and r2 touches each other ext...

    Text Solution

    |

  10. Let zk be the roots of the equation (z+1)^7+z^7=0, then sum (k=0)^6 Re...

    Text Solution

    |

  11. Find the equations of the sides of the triangle having (3, - 1) as a v...

    Text Solution

    |

  12. The equation of the circle which passes through the point A(0, 5) and ...

    Text Solution

    |

  13. One diagonal of a square is the portion of the line sqrt(3)x+y=2sqrt(3...

    Text Solution

    |

  14. Three vertices of a parallelogram are (1, 1), (2, 4)  and (3,5), then ...

    Text Solution

    |

  15. If the vectors 2a hat i+b hat j+c hat k ,b hat i+c hat j+2a hat ka n d...

    Text Solution

    |

  16. In a triangle A B C , right angled at A , on the leg A C as diameter, ...

    Text Solution

    |

  17. Let a, b, c be any real numbers. Suppose that there are real number...

    Text Solution

    |

  18. underset(x to oo)lim(overset(2x)underset(0)intte^(t^(2))dt)/(e^(4x^(2)...

    Text Solution

    |

  19. ("lim")(x→oo)((a x+3)/(b x+2))^(b x) is equal to (a and b are positive...

    Text Solution

    |

  20. a, b, c are sides of a triangle and a, b, c are in GP If log a- log ...

    Text Solution

    |