Home
Class 12
MATHS
If the hypotenuse of a right-angled tria...

If the hypotenuse of a right-angled triangle is four times the length of the perpendicular drawn from the opposite vertex to it, then the difference of the two acute angles will be

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

In a right angled triangle, the hypotenuse is four times as long as the perpendicular drawn to it from the opposite vertex. One of the acute angle is

Prove that the area of the semicircle drawn on the hypotenuse of a right angled triangle is equal to the sum of the areas of the semicircles drawn on the other two sides of the triangle

In a right angled triangle the hypotenuse is 2sqrt(2) times the perpendicular drawn from the opposite vertex. Then the other acute angles of the triangle are (a) pi/3a n dpi/6 (b) pi/8a n d(3pi)/8 (c) pi/4a n dpi/4 (d) pi/5a n d(3pi)/(10)

If the sides of a right angled triangle are in A.P then the sines of the acute angles are

Show that in a right angled triangle, the hypotenuse is the longest side.

The hypotenuse of a right angled triangle is 45 cm long. If one of the legs of this triangle is 36 cm, then find the length of other leg.

An isosceles right-angled triangle has area 200 cmWhat is the length of its hypotenuse?

Construct a right-angled triangle with hypotenuse 8.2 cm long and one of the perpendicular sides of length 6 cm.

In a right angled triangle, find the length of the hypotenuse, if the other two sides measure 12 cm and 35 cm.

In a right angled triangle, five times the square on the hypotenuse is equal to four times the sum of the squares on the medians drawn from the acute angles. Prove it.

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If vec xa n d vec y are unit vectors and | vec z|=2/7 such that vec ...

    Text Solution

    |

  2. The number of 3xx3 matrices A whose entries are either 0or1 and for wh...

    Text Solution

    |

  3. If the hypotenuse of a right-angled triangle is four times the length ...

    Text Solution

    |

  4. The chances of defective screws in three boxes A,B,C are 1/5, 1/6, 1/7...

    Text Solution

    |

  5. An urn contains 6 red and 5 blue balls. Two balls are drawn at rand...

    Text Solution

    |

  6. consider f(x)==cos^-1x+xos((sqrt3 x+sqrt(1-x^2))/2), if sum(r=1)^100 f...

    Text Solution

    |

  7. If 8l^2+35 m^2+36 l m+6l+12 m+1=0 and the line l x+m y+1=0 touches a f...

    Text Solution

    |

  8. Distance between the lines represented by 9x^2-6x y+y^2+18 x-6y+8=0 ,...

    Text Solution

    |

  9. Let: f:[0,3]vecR be a continuous function such that int0^3f(x)dx=3. If...

    Text Solution

    |

  10. If x ,2x+2 and 3x+3 are the first three terms of a G.P., then the four...

    Text Solution

    |

  11. If the planes vec rdot( hat i+ hat j+ hat k)=q1, vec rdot( hat i+2a h...

    Text Solution

    |

  12. If f ''(x)|le 1 AA x in R, and f (0) =0=f' (0), then which of the fol...

    Text Solution

    |

  13. The number of integral solutions of (x+2)/(x^2+1)>1/2 is

    Text Solution

    |

  14. If the ellipse (x^2)/4+y^2=1 meets the ellipse x^2+(y^2)/(a^2)=1 at fo...

    Text Solution

    |

  15. If the two circles (x+1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect...

    Text Solution

    |

  16. If t a n1^0=t , the value of "cos"2^0+"t s i n"2^0 is t 2. 1 3. 1/2 ...

    Text Solution

    |

  17. In a bag there are 4 Red, 3 Black, 2 Green Balls are drawn one by o...

    Text Solution

    |

  18. Which of the following is not equivalent to (p^^~ q)->r (a) ~(q v ~ ...

    Text Solution

    |

  19. 3^(51) when divided by 8 leaves the remainder 2 2. 6 3. 3 4. 5 5. 1

    Text Solution

    |

  20. If a and b are two numbers belonging to the set {1,2,….100}, then the ...

    Text Solution

    |