Home
Class 11
MATHS
In A B C , on the side B C ,D and E are...

In ` A B C ,` on the side `B C ,D and E` are two points such that `B D=D E=E Cdot` Also `/_A D E=/_A E D=alpha,` then (a) `3(tanB+tanc)=2tanalpha` (b) `tanB+tanC=3tanalpha` (c) `tanA=(6tanalpha)/(9-tan^2alpha)` (d) `tanA=(6tanalpha)/(tan^2alpha-9)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

In Figure, A D=A E\ a n d\ D\ a n d\ E are points on B C such that B D=E Cdot Prove that A B=A C

In Figure D\ a n d\ E are two points on B C such that B D=D E=E Cdot Show that a r(\ A B D)=\ a r\ (\ A D E)=a r\ (\ A E C)dot

In a triangle ABC, points D and E are taken on side BC such that BD= DE= EC. If angle ADE = angle AED = theta , then: (A) tan theta = 3 tan B (B) 3 tan theta = tan C (C) (6tan theta )/( tan^2 theta -9)= tanA (D) angleB = angle C

If tan(alpha-beta)=(sin2beta,)/(3-cos2beta) then (a) tanalpha=2tanbeta (b) tanbeta=2tanalpha (c) 2tanalpha=3tanbeta (d) 3tanalpha=2tanbeta

If cot^3alpha+cot^2alpha+cotalpha=1 then (a) cos2alpha.tanalpha=-1 (b) cos2alpha.tanalpha=1 (c) cos2alpha-tan2alpha=1 (d) cos2alpha-tan2alpha=-1

In a A B C ,D and E are points on sides A B a n d A C respectively such that B D=C E . If /_B=/_C , show that DE || BC .

In Figure, A C=A E ,\ A B=A D\ a n d\ /_B A D=/_E A Cdot Prove that B C=D E

If tanalpha=(1-cosbeta)/(sinbeta),t h e n (a) tan3alpha=tan2beta (b) tan2alpha=tanbeta (c) tan2beta=tanalpha (d) none of these

If u=cot^(-1)sqrt(tanalpha)-tan^(-1)sqrt(tanalpha),t h e n tan(pi/4- u/2) is (a) sqrt(tanalpha) (b) sqrt(cotalpha) (c) tanalpha (d) cot alpha

In Figure, A B=A C\ a n d\ D B=D Cdot\ Prove that /_A B D=/_A C D

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Let f(x)=log(log)(1/3)((log)7(sinx+a))) be defined for every real valu...

    Text Solution

    |

  2. Number of roots of cos^2x+(sqrt(3)+1)/2sinx-(sqrt(3))/4-1=0 which lie ...

    Text Solution

    |

  3. In A B C , on the side B C ,D and E are two points such that B D=D E=...

    Text Solution

    |

  4. If sintheta1+sintheta2+sintheta3=3, then costheta1+costheta2+costheta...

    Text Solution

    |

  5. Number of integral values of a for which the equation cos^2x-sinx+a=0 ...

    Text Solution

    |

  6. It cos(alpha+beta)=4/5,sin(alpha-beta)=5/(13)a n dalpha,beta lie betwe...

    Text Solution

    |

  7. A circle of radius 4cm is inscribed in A B C , which touches the side...

    Text Solution

    |

  8. If sin^2theta=(x^2+y^2+1)/(2x) , then x must be -3 (b) -2 (c) 1...

    Text Solution

    |

  9. If cos4x=a0+a1cos^2x+a^2cos^4x is true for all values of x in R , the...

    Text Solution

    |

  10. If A B C ,sinC+cosC+sin(2B+C)-cos(2B+C)=2sqrt(2.) Prove that A B C ...

    Text Solution

    |

  11. In triangle A B C , let /c=pi/2dot If r is the inradius and R is circu...

    Text Solution

    |

  12. Suppose ABCD (in order) is a quadrilateral inscribed in a circle. Whic...

    Text Solution

    |

  13. Solve sec4theta-sec2theta=2

    Text Solution

    |

  14. Prove that sum(r=1)^n(1/(costheta+"cos"(2r+1)theta))=(sinntheta)/(2si...

    Text Solution

    |

  15. ABC is an isosceles triangle inscribed in a circle of radius rdot If A...

    Text Solution

    |

  16. Which of the following is/are correct? (tanx)^ln(sinx)>(cotx)^ln(sinx...

    Text Solution

    |

  17. Solve : 5cos2theta+2cos^2(theta/2)+1=0,-pi lt theta lt pi

    Text Solution

    |

  18. If x^2+y^2=x^2y^2 then find the range of (5x+12 y+7x y)/(x y) .

    Text Solution

    |

  19. If H is the orthocentre of triangle A B C ,R= circumradius andP=A H+B ...

    Text Solution

    |

  20. If 3tanA+4=0, then the value of 2cotA-5cosA+sinA is equal to (23)/(10)...

    Text Solution

    |