Home
Class 11
MATHS
Let ABC be a triangle with /A=45^0dot Le...

Let ABC be a triangle with `/_A=45^0dot` Let P be a point on side BC with PB=3 and PC=5. If O is circumcenter of triangle ABC, then length OP is `sqrt(18)` (b) `sqrt(17)` (c) `sqrt(19)` (d) `sqrt(15)`

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

Let A B C be a triangle with /_B=90^0 . Let AD be the bisector of /_A with D on BC. Suppose AC=6cm and the area of the triangle ADC is 10c m^2dot Find the length of BD.

Let A B C be a triangle with /_B=90^0 . Let AD be the bisector of /_A with D on BC. Suppose AC=6cm and the area of the triangle ADC is 10c m^2dot Find the length of BD.

Let ABC be a right triangle with length of side AB=3 and hyotenus AC=5. If D is a point on BC such that (BD)/(DC)=(AB)/(AC), then AD is equal to

In a Delta A B C ,if a=2,/_B=60^0a n d/_C=75^0 , then b= (a) sqrt(3) (b) sqrt(6) (c) sqrt(9) (d) 1+sqrt(2)

The angles of a triangle ABC are in A.P and b:c = sqrt(3) : sqrt(2) find angle A

One vertex of an equilateral triangle is (2,2) and its centroid is (-2/sqrt3,2/sqrt3) then length of its side is (a) 4sqrt(2) (b) 4sqrt(3) (c) 3sqrt(2) (d) 5sqrt(2)

If the vectors vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk are the sides of a triangle ABC, then the length of the median through A is (A) sqrt(33) (B) sqrt(45) (C) sqrt(18) (D) sqrt(720

In a triangle, the lengths of the two larger sides are 10 and 9, respectively. If the angles are in A.P, then the length of the third side can be (a) 5-sqrt(6) (b) 3sqrt(3) (c) 5 (d) 5+sqrt(6)

The vector vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk are sides of a triangle ABC. The length of the median through A is (A) sqrt(18) (B) sqrt(72) (C) sqrt(33) (D) sqrt(288)

In a triangle ABC, /_ABC=45^@ and a point D is on BC such that 2BD=CD and /_DAB=15^@ then /_ACB=

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If theta1 and theta2 are two values lying in [0,2pi] for which t a n...

    Text Solution

    |

  2. If tantheta=-4/3,t h e nsintheta is -4/5b u tnot4/5 (b) -4/5or4/5 ...

    Text Solution

    |

  3. Let ABC be a triangle with /A=45^0dot Let P be a point on side BC with...

    Text Solution

    |

  4. If costheta-sintheta=1/5, where 0 lt theta lt pi/4, then Column I Colu...

    Text Solution

    |

  5. One of the general solutions of sqrt(3) cos theta-3 sin theta=4 sin 2 ...

    Text Solution

    |

  6. Let theta in ( 0, pi/4) and t1 = (tan theta)^(tan theta),t2 = (tan th...

    Text Solution

    |

  7. Sum of roots of the equation x^4-2x^2sin^2(pix/2)+1=0 is 0 (b) 2 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. If s e c^2theta=(4x y)/((x+y)^2) is true if and only if (a)x+y!=0 (b)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If (cos^4A)/(cos^2B)+(sin^4A)/(sin^2B)=1 then prove that (cos^4B)/(cos...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If x=sectheta-tanthetaa n dy=cos e ctheta+cottheta, then prove that x...

    Text Solution

    |

  19. If A >0,B >0a n dA+B=pi/3, the maximum value of tanAtanB is

    Text Solution

    |

  20. Prove that cosA+cosB+cosC=1+r/R

    Text Solution

    |