Home
Class 10
MATHS
In the figure, DE||BC, BD=x-3, BA=2x, CE...

In the figure, DE||BC, BD=x-3, BA=2x, CE=x-2, and AC=2x+3. Find the value of x.

A

`3`

B

`6`

C

`9`

D

`12`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NUMBER AND SEQUENCES

    SURA PUBLICATION|Exercise Unit test|12 Videos
  • RELATIONS AND FUNCTIONS

    SURA PUBLICATION|Exercise Unit Test|14 Videos

Similar Questions

Explore conceptually related problems

In Delta ABC , if DE|| BC, AD=x DB=x-2, AE= x+2 and EC=x-1 then find the length of the sides AB and AC.

In DeltaABC,"seg " BD" bisects "angleABC,"if" AB=x,BC=x+5,AD=x-2,DC=x+2 .Then find the value of x.

If 2^(x+1 ) = 3^(1-x) then find the value of x.

If f(x)=3x-2, g(x)=2x+k and if fog=gof, then find the value of k.

In the given figure AB || CD, BC || DE then find the values of x and y

If f(x)=3x-2 and g(x)=2x+a and if fog=gof , then find the value of a

For a in R, if |x - a + 3| + |x-3a|=2x - 4a +3 | is ture AA x in R. Then find the value of a.

SURA PUBLICATION-ONE MARK QUESTIONS SET -Multiple Choice Question
  1. If 2A+3B=[(2, -1, 4), (3, 2,5)] and A+2B=[(5, 0, 2), (1, 6, 2)] then B...

    Text Solution

    |

  2. The square root of 4m^(2)-24m+36 is .

    Text Solution

    |

  3. In the figure, DE||BC, BD=x-3, BA=2x, CE=x-2, and AC=2x+3. Find the va...

    Text Solution

    |

  4. If ABC is a triangle and AD bisects, AB=4 cm, BD=6 cm, DC=8 cm then th...

    Text Solution

    |

  5. In a triangle bisector of an angle bisects the opposite side. Find the...

    Text Solution

    |

  6. A line which intersects a circle at two distinct point is called .

    Text Solution

    |

  7. In the given figure, if OC=9cm and OB=15cm the value of OB+DB=.

    Text Solution

    |

  8. In figure angleOAB=60^(@) and OA=6cm then the radius of the circle is ...

    Text Solution

    |

  9. Find the equation of the straight line passes through the point (5, 3)...

    Text Solution

    |

  10. The y-intercept of the straight line 3x-4y+8=0 is .

    Text Solution

    |

  11. Find the value of P, given that the line (y)/(2)=x-p passes through th...

    Text Solution

    |

  12. The slope of the straight line 2y=x+8 is .

    Text Solution

    |

  13. Find the value of 'a' if the line 7y=ax+4 and 2y=3-x are parallel.

    Text Solution

    |

  14. If tan theta+cot theta=3, then tan^(2) theta+cot^(2) theta=.

    Text Solution

    |

  15. If x=a sec theta and y=b tan theta then b^(2)x^(2)-a^(2)y^(2)=.

    Text Solution

    |

  16. The angle of elevation of the top of tree from a point at a distance o...

    Text Solution

    |

  17. The angle of depression of a boast from 50sqrt(3) high bridge is 30^(@...

    Text Solution

    |

  18. A ladder of length 14 m just reaches the top of a wall. If the ladder ...

    Text Solution

    |

  19. The ratio of the volumes of two sphere is 8:27. If r and R are the rad...

    Text Solution

    |

  20. The material of a cone is covered into the shape of a cylinder of equa...

    Text Solution

    |