Home
Class 14
MATHS
Let D and E be two points on the side BC...

Let D and E be two points on the side BC of `triangle ABC` such that AD = AE and `angle BAD = angle EAC`. If AB = (3x+1)cm , BD = 9cm , AC = 34cm and EC = (y + 1) cm, then the value of (x + y) is:
`triangle ABC` में, D और E भुजा BC पर दो बिंदु इस प्रकार है की AD = AE और `angle BAD = angle EAC` । यदि AB = (3x +1) cm, BD = 9cm, AC = 34cm और EC = (y+1) cm है, तो (x + y) का मान है

A

17

B

20

C

19

D

16

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • 2019 TIER-II PAPER (1)

    CHAMPION PUBLICATION|Exercise EXERCISE|99 Videos

  • 2019 TIER-II PAPER(3)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos

Similar Questions

Explore conceptually related problems

If D and E are points on the sides AB and AC respectively of a triangle ABC such that DE || BC. If AD =x cm, DB =(x-3) cm, AE = ( x+ 3 ) cm and EC = ( x -2) cm, what is the value (in cm. ) of x ?

In triangle ABC , D and E are points on the sides AB and AC, respectively, such that DE || BC. If AD = 5cm, DB = 9cm AE =4cm and BC = 15.4cm, then the sum of the length of DE and EC (in cm) is: triangle ABC में, D और E क्रमशः AB और AC भुजाओं पर बिंदु इस प्रकार है की DE||BC, यदि AD = 5cm, DB = 9cm AE = 4cm और BC = 15.4cm है, तो DE और EC (सेमी में) की लंबाई का योग है

The bisector of angle A in triangle ABC meets BC in D. If AB = 15 cm, AC = 13 cm and BC = 14 cm, then DC =?

In triangle ABC ,D and E are the points on sides AC and AB, respectively, such that angle ADE= angle B . If AE = 8 cm, CD = 3 cm, DE= 6 cm and BC = 9 cm, then AD is equal to: त्रिभुज ABC में, D तथा E क्रमश भुजा AC और AB पर स्थित बिंदु है जो इस प्रकार है कि angle ADE= angle B है| यदि AE = 8 सेमी, CD = 3 सेमी, DE = 6 सेमी और BC = 9 सेमी है, तो AD का मान किसके बराबर है ?

In triangle ABC E and D are points on sides AB and AC,respectively, such that angle ABC= angle ADE , if AE = 6cm, AD = 4 cm and EB = 4 cm, then the length of DC is: triangle ABC में, E और D क्रमशः AB और AC पर एक बिंदु हैं, जैसे कि angle ABC= angle ADE ,यदि AE = 6cm, AD = 4 cm और EB = 4 cm है, तो DC की लंबाई है:

Let D, E be the points on sides AB and AC respectively of a triangle ABC such that DE is parallel to BC. Let AD = 2 cm, DB = 1 cm, AE = 3 cm and area of triangle ADE = 3 cm^2 What is EC equal to ?

In a right-angled triangle ABC, if angle B = 90° , BC = 3 cm and AC = 5 cm, then the length of side AB is

Point D,E are taken on the side BC of an acute angled triangle ABC,, such that BD = DE = EC . If angle BAD = x, angle DAE = y and angle EAC = z then the value of (sin(x+y) sin (y+z))/(sinx sin z) is ______

D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2 cm , BD = 3 cm , BC = 7.5 cm and DE || BC. Then length of DE (in cm) is (a) 2.5 (b) 3 (c) 5 (d) 6

CHAMPION PUBLICATION-2019 TIER-II PAPER (2)-EXERCISE
  1. A certain sum is divided between A, B, C and D such that the ratio of ...

    Text Solution

    |

  2. In angle ABC, D and E are the midpoint of sides BC and AC, respectivel...

    Text Solution

    |

  3. Let D and E be two points on the side BC of triangle ABC such that AD...

    Text Solution

    |

  4. Raju ate 3/8 part of a pizza and Adam ate 3/10 part of the remaining p...

    Text Solution

    |

  5. If sqrt(11-3 sqrt8)=a+b sqrt2, then what is the value of (2a + 3b) ? ...

    Text Solution

    |

  6. A cylindrical roller made up of iron is 1.2m long. Its internal radius...

    Text Solution

    |

  7. In a quadrilateral ABCD, E is a point in the interior of the quadrilat...

    Text Solution

    |

  8. What price should Neeraj mark on a shirt that cost ₹ 840, so as to ear...

    Text Solution

    |

  9. If frac(1)(x+frac(1)(y+frac(2)(z+frac(1)(4))))= 29/79 where x,y and z ...

    Text Solution

    |

  10. The rate of interest for the first 2 years is 6% p.a, for next 3 years...

    Text Solution

    |

  11. The value of (5cos^2 60^@+4sec^2 30^@-tan^2 45^@)/(tan^2 60^@- sin^2 3...

    Text Solution

    |

  12. The value of 3 1/5 div 4 1/2 of 5 1/3+1/8 div 1/2 of 1/4-1/4(1/2 div 1...

    Text Solution

    |

  13. A drink of chocolate and milk contains 8% pure chocolate by volume. If...

    Text Solution

    |

  14. The base of a solid prism of height 10cm is a square and its volume is...

    Text Solution

    |

  15. An article is marked 25%, above its cost price. If x% discount is allo...

    Text Solution

    |

  16. The average of twenty-five numbers is 54. The average of the first 13 ...

    Text Solution

    |

  17. If cos(2 theta+54^@)=sin theta, 0^@ <(2 theta+54^@)<90^@, then what is...

    Text Solution

    |

  18. If cosec theta=b/a, then (sqrt3 cot theta+1)/(tan theta+sqrt3) is equa...

    Text Solution

    |

  19. Study the pie-chart and answer the questions: Break up (degree wise) o...

    Text Solution

    |

  20. A sold an item to B at 20% gain, B sold it to C at 8% gain. C sold it ...

    Text Solution

    |