Home
Class 14
MATHS
In the figure given above angle ABC= ang...


In the figure given above `angle ABC= angle AED = 90^(@)`
Consider the following statements :
1. ABC and ADE are similar triangles.
2. The four points B, C,E and D may lie on a circle.
Which of the above statements `"is/are"` correct ?

A

Only I

B

Only II

C

Both I and II

D

Neither I nor II

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    ARIHANT PUBLICATION PUNJAB|Exercise CHAPTER EXERCISE|70 Videos

  • EVALUTION

    ARIHANT PUBLICATION PUNJAB|Exercise Chapter Exercise|45 Videos

  • GEOMETRY AND SHAPES

    ARIHANT PUBLICATION PUNJAB|Exercise CHAPTER EXERCISE |43 Videos

Similar Questions

Explore conceptually related problems

In the figure given below, angle ABC = angle AED = 90^@ Consider the following statements I. ABC and ADE are similar triangles. II. The four points B,C,E and D may lie on a circle. Which of the above statements is/are correct ?

In the figure given below, ABC is a triangle with AB = BC and D is an interior point of the triangle ABC such that angle DAC = angleDCA. Consider the following statements : 1. Triangle ADC is an isosceles triangle. 2. Dis the centroid of the triangle ABC. 3. Triangle ABD is congruent to the triangle CBD. Which of the above statements are correct ?

The angles A, B,C, D of a quadrilateral ABCD are in the ratio 1:2:4:5. Consider the following statements : 1. ABCD is a cyclic quadrilateral. 2. sin (B - A) = cos (D - C). Which of the above statements is/are correct ?

Consider the following statements : 1. If two triangles are equiangular, then they are similar. 2. If two triangles have equal area, then they are similar. Which of the statements given above is/are correct?

Consider the following statements : 1. If G is the centroid of triangle ABC, then GA=GB=GC. 2. If H is the orthocentre of triangle ABC, then HA=HB=HC. Which of the statements given above is/are correct ?

Consider the following statements : 1. The number of circles that can be drawn through three non-collinear points is infinity. 2. Angle formed in minor segment of a circle is acute. Which of the above statements is/are correct?

The point o is equidistant from the three sides of a triangle abc. Consider the following statements: 1. angleOAC + angleOCB + angleOBA = 90^(@) 2. angleBOC = 2angleBAC 3. The perpendiculars drawn from any point on OA to AB and AC are always equal Which of the above statements are correct ?

Consider the following statements in respect of an equilateral triangle ABC. 1. The altitudes are congruent. 2. The three medians are congruent. 3. The centroid bisects the altitude. Which of the above statements "is/are" correct ?

In a right-angled triangle ABC, if angle B = 90°, then which of the following is true?

ARIHANT PUBLICATION PUNJAB-GEOMETRY-CHAPTER EXERCISE
  1. In the figure given above angle ABC= angle AED = 90^(@) Consider the...

    Text Solution

    |

  2. How many least number of distinct points determine a unique plane?

    Text Solution

    |

  3. Which of the following statements is false?

    Text Solution

    |

  4. Two parallel lines are cut by a transversal, then which of the followi...

    Text Solution

    |

  5. The measure of an angle is twice the measure of its supplementary a...

    Text Solution

    |

  6. In figure, OP bisects angle BOC and OQ bisects angle AOC, then angle P...

    Text Solution

    |

  7. In Fig. 30, lines l1\ a n d\ l2 intersect at O , forming angles as sho...

    Text Solution

    |

  8. In figure, determine the value of y.

    Text Solution

    |

  9. AB and CD are two parallel lines. The points B and C are joined such t...

    Text Solution

    |

  10. AB and CD are two parallel lines. PQ cuts AB and CD at E and F respect...

    Text Solution

    |

  11. In the given figure, if EC || AB, angle ECD = 70^(@), angle BDO =20^(@...

    Text Solution

    |

  12. In the given figure, if PQ || RS, angle QPT=115^(@) and angle PTR=20^(...

    Text Solution

    |

  13. In figure, sides AB and AC of a Delta ABC are produced to P and Q, res...

    Text Solution

    |

  14. In Delta PQR, PS is the bisector of angle P and PT bot QR, where angle...

    Text Solution

    |

  15. An equilateral triangle A B C is inscribed in a circle with cent...

    Text Solution

    |

  16. The number of triangles in the given figure is

    Text Solution

    |

  17. AB, EF and CD are parallel lines. Given that EG=5cm, GC= 10 cm, AB = ...

    Text Solution

    |

  18. In Delta ABC, AB = AC. The poins D and E are on BC. Such that AD = AE....

    Text Solution

    |

  19. A point O in the interior of a rectangle A B C D is joined with ...

    Text Solution

    |

  20. In the given figure, ABCD is a square. A line segment DX cuts the side...

    Text Solution

    |

  21. In the given figure, ABCD is a parallelogram and M, N are the mid-poin...

    Text Solution

    |