Home
Class 14
MATHS
Let D be the mid-point of a straight lin...

Let D be the mid-point of a straight line AB and let C be a point different from D such that AC=BC, then.

A

`AC_|_AB`

B

`angleBDC=90^(@)`

C

`angleBDC` is acute

D

`angleBNDCgt90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 12.2|100 Videos

  • GEOMETRY

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 12.3|28 Videos

  • GEOMETRY

    ARIHANT SSC|Exercise Fast Track Practice|104 Videos

  • FUNDAMENTALS

    ARIHANT SSC|Exercise TEST OF YOU - LEARNING - 2|40 Videos

  • HCF AND LCM

    ARIHANT SSC|Exercise Exercise Higher Skill Level Questions|18 Videos

Similar Questions

Explore conceptually related problems

Let X be the midpoint of the side AB of triangle ABC. And Y be the mid point of CX. If Z is the point where BY meets the side AC, then AZ:ZC is equal to

ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that (i) D is the mid-point of AC (ii) M D_|_A C (iii) C M" "=" "M A=1/2A B

Let ABCD be a trapezium in which AB||DC and E be the mid-point of AD. If F be a point on BC such that EF||AB. Then EF, where F is the mid-point of BC, is equal to

Let AB be a line segment with midpoint C, and D be the midpoint of AC. Let C_1 be the circle with diameter AB and C_2 be the circle with diameter AC. Let E be a point on C_1 such that EC is perpendicular to AB. Let f be a point on C_2 such that DF is perpendicular to AB. Then, the value of sinangleFEC is

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

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

D and E are the mid-points of the sides AB and AC of Delta ABC and O is any point on side BC. O is joined to A. If P and Q are the mid-points of OB and OC respectively, then DEQP is

ARIHANT SSC-GEOMETRY-INTRODUCTORY EXERCISE - 12.1
  1. How many degrees are there in an angle which equals one - fifth of its...

    Text Solution

    |

  2. In the given figure, anglea is greater than one sixth of right angle, ...

    Text Solution

    |

  3. Let D be the mid-point of a straight line AB and let C be a point diff...

    Text Solution

    |

  4. Consider the following statements: When two straight lines interse...

    Text Solution

    |

  5. AB is a straight line and O is a point on AB, if a line OC is drawn no...

    Text Solution

    |

  6. In the ajoining figure AE||CD and BC||ED, then find y:

    Text Solution

    |

  7. In the adjoining figure ABIIMNIICD angleAPO=42^(@) and angleCQO=38^(@)...

    Text Solution

    |

  8. If the perimeter of a semi-circular protractor is 36cm, then its diame...

    Text Solution

    |

  9. In the figure , AB|\|CD and PQ, QR intersect AB and CD both at E, F G ...

    Text Solution

    |

  10. In the following figure, find the value of y :

    Text Solution

    |

  11. In the adjoining figure AB||DE, angleABC=67^(@) and angleEDC=23^(@) Fi...

    Text Solution

    |

  12. In the given figure AB||DE. Find a^(@)+b^(@)-c^(@):

    Text Solution

    |

  13. In the given figure AB||CE and BC||FG. Find the value of x^(@):

    Text Solution

    |

  14. AB||CD, shown in the figure. Find the value of x :

    Text Solution

    |

  15. In the figure PQ||LM||RS. Find the vlaue of angleLRS:

    Text Solution

    |

  16. In the figure AB||CD and DE||BF. Find the valeu of x :

    Text Solution

    |

  17. In the figure AB||CD, angleABE=100. Find angleCDE:

    Text Solution

    |

  18. In the figure AB||CD, find x^(@) ("i.e. "angleCDF):

    Text Solution

    |

  19. In the given figure XY||PQ, find the value of x :

    Text Solution

    |

  20. In the given figure AB||CD and EF||DQ. Find the value of angleDEF:

    Text Solution

    |