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  • Question

  • Length of the sides of a triangle are a, b, c respectively. If a2 + b2 + c2 = ab +bc + ca then the triangle is


  • Options
  • A. isosceles
  • B. equilateral
  • C. scalene
  • D. right-angled

  • Correct Answer
  • equilateral 

    • Tags: Bank Exams

    Volume and Surface Area problems

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    • 1. Two circles touch each other externally. The distance between their centres is 7 cm. If the radius of one circle is 4 cm, then the radius of the other circle will be

    • Options
    • A. 3 cm
    • B. 4 cm
    • C. 5.5 cm
    • D. 3.5 cm
      • Discuss
    • 2. An arc of 30° in one circle is double an arc in a second circle, the radius of which is three times the radius of the first. Then the angles subtended by the arc of the second circle at its centre is

    • Options
    • A. 3°
    • B. 4°
    • C. 5°
    • D. 6°
      • Discuss
    • 3. A solid sphere of radius 9 cm is melted to form a sphere of radius 6 cm and a right circular cylinder of same radius. The height of the cylinder so formed is

    • Options
    • A. 19 cm
    • B. 21 cm
    • C. 23 cm
    • D. 25 cm
      • Discuss
    • 4. Which of the set of three sides can't form a triangle?

    • Options
    • A. 5 cm, 6 cm, 7 cm
    • B. 5 cm, 8 cm, 15 cm
    • C. 8 cm, 15 cm, 18 cm
    • D. 6 cm, 7 cm, 11 cm
      • Discuss
    • 5. If PA and PB are two tangents to a circle with centre O such that ? APB = 80°. Then ? AOP =

    • Options
    • A. 40°
    • B. 50°
    • C. 60°
    • D. 70°
      • Discuss
    • 6. Length of the sides of a triangle are a, b, c respectively. If a2 + b2 + c2 = ab +bc + ca then the triangle is

    • Options
    • A. isosceles
    • B. equilateral
    • C. scalene
    • D. right-angled
      • Discuss
    • 7. A right circular conical structure stands on a circular base of 21m diameter and is 14m in height. The total cost of colour washing for its curved surface at Rs. 6 per sq. m. is (Take ? = 22/7 )

    • Options
    • A. 4365
    • B. 4465
    • C. 3465
    • D. 3365
      • Discuss
    • 8. Points P , Q and R are on a circle such that ?PQR = 40° and ?QRP = 60° . Then the subtended angle by arc QR at the centre is

    • Options
    • A. 80°
    • B. 120°
    • C. 140°
    • D. 160°
      • Discuss
    • 9. In an isosceles triangle ?ABC, AB = AC and ?A = 80°. The bisector of ?B and ?C meet at D. The ?BDC is equal to

    • Options
    • A. 90°
    • B. 100°
    • C. 130°
    • D. 80°
      • Discuss
    • 10. Radius of cross section of a solid right circular cylindrical rod is 3.2 dm. The rod is melted and 44 equal solid cubes of side 8 cm are formed. The length of the rod is (Take ? = 22/7)

    • Options
    • A. 56 cm
    • B. 7 cm
    • C. 5.6 cm
    • D. 0.7 cm
      • Discuss

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