## Class 10 Maths Chapter 6 “Triangles” Multiple Choice Questions with Answer Key

**Triangles MCQs – **Here is a compilation of **Class 10 Maths Chapter 6 “Triangles” MCQs. **Students can practice free MCQs as have been added by CBSE in the new Exam pattern to know their preparation level. At the end of Multiple Choice Questions, the answer key has also been provided for your reference.

**Q1. Values of ***k*** for which the quadratic equation 2x² – ***kx*** + ***k*** = ***0*** has equal roots is**

(a) 0 only

(b) 4

(c) 8 only

(d) 0, 8

**Q2. (x² + 1)² – x² = 0 has**

(a) four real roots

(b) two real roots

(c) no real roots

(d) one real roots

**Q3. In a rectangle Length = 8 cm, Breadth = 6 cm. Then its diagonal = …**

(a) 9 cm

(b) 14 cm

(c) 10 cm

(d) 12 cm

**Q4. In a rhombus if d****1**** = 16 cm, d****2**** = 12 cm, its area will be…**

(a) 16 × 12 cm²

(b) 96 cm²

(c) 8 × 6 cm²

(d) 144 cm²

**Q5. If in two As ABC and DEF, ****AB****DF****= ****BC****FE**** = ****CA****ED**** then**

(a) ∆ABC ~ ∆DEF

(b) ∆ABC ~ ∆EDF

(c) ∆ABC ~ ∆EFD

(d) ∆ABC ~ ∆DFE

**Q6. 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

**Q7. In ABC, DE || AB. If CD = 3 cm, EC = 4 cm, BE = 6 cm, then DA is equal to**

(a) 7.5 cm

(b) 3 cm

(c) 4.5 cm

(d) 6 cm

**Q8. If ΔABC ~ ΔDEF and ΔABC is not similar to ΔDEF then which of the following is not true?**

(a) BC.EF = AC.FD

(b) AB.ED = AC.DE

(c) BC.DE = AB.EE

(d) BC.DE = AB.FD

**Q9. O is a point on side PQ of a APQR such that PO = QO = RO, then**

(a) RS² = PR × QR

(b) PR² + QR² = PQ²

(c) QR² = QO² + RO²

(d) PO² + RO² = PR²

**Q10. If in triangles ABC and DEF, ****AB****DE****= ****BC****FD****, then they will be similar, if**

(a) ∠B = ∠E

(b) ∠A = ∠D

(c) ∠B = ∠D

(d) ∠A = ∠F

**Q11. Which of the following equations has 2 as a root?**

(a) x² – 4x + 5 = 0

(b) x² + 3x – 12 = 0

(c) 2x² – 7x + 6 = 0

(d) 3x² – 6x – 2 = 0

**Q12. The rooks of the equation ***x***2**** +7***x*** + 10 = 0 are:**

(a) -5, -2

(b) 5, 2

(c) 5, -2

(d) -5, 2

**Q13. The quadratic equation 2****x****2****– ****5x****+1 = 0 has**

(a) two distinct real roots

(b) two equal real roots

(c) no real roots

(d) more than 2 real roots

**Q14. In a square of side 10 cm, its diagonal = …**

(a) 15 cm

(b) 102

(c) 20 cm

(d) 12 cm

**Q15. In a rhombus if d****1**** = 16 cm, d****2**** = 12 cm, then the length of the side of the rhombus is**

(a) 8 cm

(b) 9 cm

(c) 10 cm

(d) 12 cm

### Class 10 Maths Chapter 6 MCQ Answer Key

Q.No. |
Ans. |
Q.No. |
Ans. |

1 | D | 9 | B |

2 | C | 10 | C |

3 | C | 11 | C |

4 | B | 12 | A |

5 | D | 13 | C |

6 | B | 14 | B |

7 | C | 15 | C |

8 | C |