Home
Class 12
MATHS
If the four points (m(i),(1)/(m(i))) whe...

If the four points `(m_(i),(1)/(m_(i)))` where `m_(1) gt 0 (I,1,2,3,4)` are concyclic, then prove that `m_(1)m_(2)m_(3) m_(4)=1`.

Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (THREE DIMENSIONAL COORDINATE GEOMETRY)|10 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise CALCULUS|84 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise ALGEBRA|141 Videos

  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

If (m_i,1/m_i),i=1,2,3,4 are concyclic points then the value of m_1m_2m_3m_4 is

If three lines whose equations are y = m_(1) x + c_(1) , y = m_(2) x + c_(2) " and " m_(3) x + c_(3) are concurrent, then show that m_(1) (c_(2) - c_(3)) + m_(2) (c_(3) - c_(1)) + m_(3) (c_(1) - c_(2)) = 0 .

Given I_m=int_1^e(logx)^mdx ,then prove that (I_m)/(1-m)+m I_(m-2)=e

If I_(m)=int_(1)^(e)(log_(e)x)^(m)dx , then prove that, I_(m)=e-mI_(m-1)

If the transversal y = m_(r)x: r = 1,2,3 cut off equal intercepts on the transversal x +y = 1 then 1 +m_(1),1 +m_(2),1+m_(3) are in

If m, n are positive quantities, prove that ((mn+1)/(m+1))^(m+1)gen^m .

If L(m,n)=int_(0)^(1)t^(m)(1+t)^(n),dt , then prove that L(m,n)=(2^(n))/(m+1)-n/(m+1)L(m+1,n-1)

sum_(m=1)^(n) tan^(-1) ((2m)/(m^(4) + m^(2) + 2)) is equal to

Two straight lines (y-b)=m_1(x+a) and (y-b)=m_2(x+a) are the tangents of y^2=4a xdot Prove m_1m_2=-1.

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)
  1. A striaght line intersect x-axis at A(7,0) and y-axis at B(0,-5). The ...

    Text Solution

    |

  2. The equation of two diameters of a circle of area 154 sq unit are 2x-3...

    Text Solution

    |

  3. If the four points (m(i),(1)/(m(i))) where m(1) gt 0 (I,1,2,3,4) are c...

    Text Solution

    |

  4. The ends A and B of a rod AB of length 8 unit slide along the lines y=...

    Text Solution

    |

  5. A is a point on the circle x^(2)+y^(2)=36. Find the locus of the point...

    Text Solution

    |

  6. The coordinates of the points A and B are (1,3) and (-2,1) respectivel...

    Text Solution

    |

  7. Find the equation of the diagonals of the parallelogram formed by the ...

    Text Solution

    |

  8. Show that the lines y=0, sqrt(3y)-xy=sqrt(3) and sqrt(3y)+x-10=0 form ...

    Text Solution

    |

  9. Prove analytically that the perpendicular bisector of the sides of a t...

    Text Solution

    |

  10. The coordinates of the vertex A of the triangle ABC are (-5,2) the equ...

    Text Solution

    |

  11. The coordinates of the vertices of a triangle are [at(1)t(2),a(t(1)+t(...

    Text Solution

    |

  12. Prove that diagonals of the parallelogram formed by the four straight ...

    Text Solution

    |

  13. Find the locus of the foot of the perpendicular from the origin upon ...

    Text Solution

    |

  14. Show that for all values of a,b and c the line (b-c)x+(c-a)y+a-b=0 alw...

    Text Solution

    |

  15. Show that the locus of the point of intersection of the stright lines ...

    Text Solution

    |

  16. Prove analytically that in any triangle the perpendiculars drawn from ...

    Text Solution

    |

  17. Prove analytically that the bisectors of the interior angles of a tria...

    Text Solution

    |

  18. If d(1),d(2),d(3) be the distances of a fixed point from the straight ...

    Text Solution

    |

  19. Show that the quadrilateral formed by the four lines y=mx+a sqrt(a+m^(...

    Text Solution

    |

  20. Show that the lines x cos alpha+ y alpha=p, x cos (alpha+ (2pi)/(3)) +...

    Text Solution

    |