Home
Class 12
MATHS
If p(1),p(2),p(3) are respectively the p...

If `p_(1),p_(2),p_(3)` are respectively the perpendiculars from the vertices of a triangle to the opposite sides, then `p_(1)p_(2)p_(3)` equals

A

`(a^(2)b^(2)c^(2))/(2R^(3))`

B

`(a^(2)b^(2)c^(2))/(4R^(3))`

C

`(a^(2)b^(2)c^(2))/(8R^(3))`

D

`(a^(2)b^(2)c^(2))/(16R^(3))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF TRIANGLES

    MODERN PUBLICATION|Exercise Latest questions from AIEE/JEE Examinations|5 Videos

  • SOLUTION OF TRIANGLES

    MODERN PUBLICATION|Exercise Latest questions from AIEE/JEE Examinations|5 Videos

  • SETS

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|6 Videos

  • STATISTICS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|3 Videos

Similar Questions

Explore conceptually related problems

If p_1p_2,p_3 are the lengths of altitudes of a triangle from the vertices A, B, C and Delta the area fo the triangle the 1/p_1 + 1/p_2 - 1/p_3 =

If P M is the perpendicular from P(2,3) onto the line x+y=3 , then the coordinates of M are

If p is the length of perpendicular from origin to the line whose intercepts on the axes are 'a' and 'b' then prove that (1)/(p^(2)) = (1)/(a^(2)) + (1)/(b^(2)) .

If p is the length of perpendicular from the origin to the line whose intercepts on the axes are a and b, then show that 1/p^(2) = 1/a^(2) + 1/b^(2) .

Three polaroid sheets P_(1), P_(2) and P_(3) are kept parallel to each other such that the angle between pass axes of P_(1) and P_(2) is 45^(@) and between P_(2) and P_(3) is 45^(@) . If unpolarised beam of light of intensity 128 Wm^(-2) is incident on P_(1) . What is the intensity of light coming out of P_(3) ?

Let PQR be a triangle of area Delta with a=2 , b=(7)/(2) and c=(5)/(2) , where a,b and c are the lengths of the sides of the triangle opposite to the angles at P,Q and R respectively. Then (2sinP-sin2P)/(2sinP+sin2P) equals

MODERN PUBLICATION-SOLUTION OF TRIANGLES-Level-II
  1. In a DeltaABC, if cotA=(x^(3)+x^(2)+x)^(1//2), cotB=(x+x^(-1)+1)^(1//2...

    Text Solution

    |

  2. If in DeltaABC, (b+c)/(11)=(c+a)/(12)=(a+b)/(13), then cosA equals :

    Text Solution

    |

  3. If p(1),p(2),p(3) are respectively the perpendiculars from the vertice...

    Text Solution

    |

  4. If (a)/(cosA)=(b)/(cosB)=(c )/(cosC), then triangle is

    Text Solution

    |

  5. If c^(2)=a^(2)+b^(2), then 4s(s-a)(s-b)(s-c) equals

    Text Solution

    |

  6. If the lengths of the sides of a DeltaABC are 3,4 and 5cm , then the d...

    Text Solution

    |

  7. If the lengths of the sides of a DeltaABC are 3,4 and 5cm , then the d...

    Text Solution

    |

  8. If A,B,C are the angles of a triangle, then the value of cot.(A)/(2)+c...

    Text Solution

    |

  9. The area of a circle is A(1) and the area of a regular pentagon inscri...

    Text Solution

    |

  10. In a triangle ABC , 2acsin.(1)/(2)(A-B+C) is equal to :

    Text Solution

    |

  11. In a triangle ABC, let /C=pi//2. If r is the inradius and R is the cir...

    Text Solution

    |

  12. The number of distinct real roots of |(sinx,cosx,cosx),(cosx, sinx,...

    Text Solution

    |

  13. In a triangle ABC, 2casin.(A-B+C)/(2)=

    Text Solution

    |

  14. In a DeltaABC, tan.(A)/(2)=(5)/(6), tan.(C)/(2)=(2)/(5), then

    Text Solution

    |

  15. In a triangle ABC, a=4, b=3, /A=60^(@), then c is the root of the equa...

    Text Solution

    |

  16. In a triangle with sides a,b,c,r(1) gt r(2) gt r(3) (which are extradi...

    Text Solution

    |

  17. The sides of a triangle are 3x+4y, 4x+3y and 5x+5y , where x,y gt 0, t...

    Text Solution

    |

  18. Which of the following pieces of data does NOT uniequely determine an ...

    Text Solution

    |

  19. If in a triangle ABC, acos^(2).(C)/(2)+cos^(2).(A)/(2)=(3b)/(2), then ...

    Text Solution

    |

  20. In a triangle ABC, medians AD and BE are drawn . If AD=4, /DAB=(pi)/(6...

    Text Solution

    |