Home
Class 11
MATHS
Let O be the circumcenter, H be the orth...

Let `O` be the circumcenter, `H` be the orthocentre, `I` be the incenter, and `I_1, I_2,I_3` be the excenters of acute-angled ` A B Cdot` Column I Column II Angle subtended by `O I` at vertex `A` p. `|B-C|` Angle subtended by `H I` at vertex `A` q. `|(B-C)/2|` Angle subtended by `O H` at vertex `A` r. `(B+C)/2` Angle subtended by `I_2I_3a tI_1` `A` q. `B/2-C`

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

If I_1, I_2, I_3 are the centers of escribed circles of triangle A B C , show that area of triangle I_1I_2I_3=(a b c)/(2r)dot

(i) Write the coordinates of the points A,B,C,D,E. (ii) Write the coordinates of F,G,H,I,J

If in the figure a || b and c || d, then name the angles that are congruent to (i) angle1 (ii) angle2 .

Establish the relation of angle of deviation with angleA,i_1 and i_2

If B is an idempotent matrix, and A=I-B , then a. A^2=A b. A^2=I c. A B=O d. B A=O

If A, B, C are three angles of /_\ABC , then (i) tan ((A - B)/2) =

Let a=2i−j+k , b=i+2j−k and c=i+j−2k be three vectors. A vector r in the plane of b and c whose projection on a is of magnitude sqrt(2/3) ​ ​ is

If A,B,C are the angles of a triangle, show that, (i) sin B cos(C +A) + cos B sin (C +A) = 0

If A^2-A+I=0, then the inverse of A is a. A^(-2) b. A+I c. I-A d. A-I

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Sum of roots of the equation x^4-2x^2sin^2(pix/2)+1=0 is 0 (b) 2 ...

    Text Solution

    |

  2. Let n be a positive integer such that sinpi/(2n)+cospi/(2n)=(sqrt(n))/...

    Text Solution

    |

  3. Let O be the circumcenter, H be the orthocentre, I be the incenter, an...

    Text Solution

    |

  4. sec^2theta=4xy/(x+y)^2 is true if and only if

    Text Solution

    |

  5. Prove that in a A B C ,sin^2A+sin^2B+sin^2C<=9/4dot

    Text Solution

    |

  6. The number of solution of the pair of equations 2sin^2theta-cos2theta=...

    Text Solution

    |

  7. The rational number which equals the number 2. 357 with recurring de...

    Text Solution

    |

  8. It (cos^4A)/(cos^2B)+(sin^4A)/(sin^2B)=1 then show that (cos^4B)/(cos^...

    Text Solution

    |

  9. Prove that r1+r2+r3-r=4R

    Text Solution

    |

  10. Number of solution of equation 2sinx/2cos^2x-2sinx/2sin^2x=cos^2x-sin^...

    Text Solution

    |

  11. If cot(theta-alpha),3cottheta,"cot"(theta+alpha) are in A.P. and theta...

    Text Solution

    |

  12. If x=sectheta-tantheta and y=cos e ctheta+cottheta, then prove that x ...

    Text Solution

    |

  13. If A >0,B >0 and A+B=pi/3, the maximum value of tanAtanB is

    Text Solution

    |

  14. prove that cosA +cosB+cosC=1+r/R.

    Text Solution

    |

  15. denote the positive solution of the equation 3+3costheta=2sin^2thetado...

    Text Solution

    |

  16. If (sec^4theta)/a+(tan^4theta)/b=1/(a+b), then prove that |b|lt=|a| .

    Text Solution

    |

  17. Prove that: ((cosA+cos B)/(sinA-sinB))^n+((sinA+sinB)/(cosA-cosB))^n={...

    Text Solution

    |

  18. Prove that ("a c o s"A+b cosB+c cosC)/(a+b+c)=r/Rdot

    Text Solution

    |

  19. Find the number of solution of the equation 1+e^(cot^2x)=sqrt(2|sinx|-...

    Text Solution

    |

  20. If a^2+b^2+2a bcostheta=1,c^2+d^2+2c dcostheta=1 and a c+b d+(a d+b c)...

    Text Solution

    |