Home
Class 12
MATHS
In a triangle A B C , right angled at B ...

In a triangle `A B C` , right angled at `B ,` the inradius is `(A B+B C-A C)/2` (b) `(A B+A C-B C)/2` `(A B+B C+A C)/2` (d) none

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

In a triangle ABC, right angled at C,tan A+tan B is equal to a+b b.(c^(2))/(ab) c.(a^(2))/(bc) d.(b^(2))/(ac)

If in a triangle A B C angle B=90^0 then tan^2(A/2) is (b-c)/a (b) (b-c)/(b+c) (c) (b+c)/(b-c) (d) (b+c)/a

In Figure, ABD is a triangle right-angled at A and A C_|_B D . Show that (i) A B^2=B C.B D (ii) A C^2=B C.D C (iii) A D^2=B D.C D

In an equilateral triangle A B C if A D_|_B C , then A D^2 = (a)C D^2 (b) 2C D^2 (c) 3C D^2 (d) 4C D^2

A B D is a right triangle right-angled at A and A C_|_B D . Show that A B^2=B CdotB D (ii) A C^2=B CdotD C (iii) A D^2=B DdotC D (iv) (A B^2)/(A C^2)=(B D)/(D C)

If /_\ ABC is right angled at A, show that: (b^(2) + c^(2))/(b^(2) - c^(2)) .sin (B - C)=1 .

In a triangle ABC, if a, b, c are in A.P. and (b)/(c) sin 2C + (c)/(b) sin 2B + (b)/(a) sin 2A + (a)/(b) sin 2B = 2 , then find the value of sin B

If E is a point on side C A of an equilateral triangle A B C such that B E_|_C A , then A B^2+B C^2+C A^2= 2 B E^2 (b) 3 B E^2 (c) 4 B E^2 (d) 6 B E^2

In triangle ABC,b^(2)sin2C+c^(2)sin2B=2bc where b=20,c=21 then inradius =4 (b) 6(c)8(d)9

In any triangle ABC, prove that: (b-c)/(b+c)=(tan((b-C)/(2)))/(tan((B+C)/(2)))

RESONANCE DPP-JEE MAINS-All Questions
  1. If in a triangle A B C , right angle at B ,s-a=3a n ds-c=2, then a=2,c...

    Text Solution

    |

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

    Text Solution

    |

  3. In a triangle A B C , right angled at B , the inradius is (A B+B C-A C...

    Text Solution

    |

  4. Let vec V=2 hat i+ hat j- hat ka n d vec W= hat i+3 hat kdot If vec ...

    Text Solution

    |

  5. If in a A B C ,(cos A)/a=(cos B)/b=(cos C)/c , then the triangle is: ...

    Text Solution

    |

  6. Vectors aa n db make an angle theta=(2pi)/3dot If | vec a|=1,| vec b|=...

    Text Solution

    |

  7. Evaluate the following inte^x(1-cot x+cot^2x)dx

    Text Solution

    |

  8. If for all real numbers y ,[y] is the greatest integer less than or e...

    Text Solution

    |

  9. int(1)/(sqrt(2x^(2)+3x-2))dx

    Text Solution

    |

  10. If the value of the integral int1^2e^(x^2)dx is alpha, then the value ...

    Text Solution

    |

  11. The solution of the differential equation (dy)/(dx) = (x(2 log x...

    Text Solution

    |

  12. If int(2x+3)/(x^2-5x+6)dx=9ln|x-3|-7ln|x-2|+A ,t h e nA is 5ln(x-2)+...

    Text Solution

    |

  13. Normals are drawn from a point P with slopes m1,m2 and m3 are drawn fr...

    Text Solution

    |

  14. Evaluate: int(x+1)/(x(1+xe^x)^2)dx

    Text Solution

    |

  15. If f(x)=A s in((pix)/2)+B ,f^(prime)sqrt(2)a n dint0^1f(x)dx=(2A)/pi, ...

    Text Solution

    |

  16. If variance of variables a ,2a ,2a ,3a ,3a ,3a ,dot,10 a is 54 then va...

    Text Solution

    |

  17. The point P on the ellipse 4x^2+9y^2=36 is such that the are of the P...

    Text Solution

    |

  18. Evaluate: int((x+1)e^x)/(cos^2(x e^x))dx

    Text Solution

    |

  19. G i v e nint0^(pi/2)(dx)/(1+sinx+cosx)=log2. Then the value of inte...

    Text Solution

    |

  20. The eccentricity of an ellipse whose centre is at the origin is 1/2...

    Text Solution

    |