Practice30Create account

Which of these quadrilaterals can NOT have a circle touching all four of its sides?

Class 10Tangent Lengths and IncirclesGeometry
  • AA square of side 5 cm
  • BA 6 cm × 4 cm rectangle
  • CA kite with sides 3, 3, 5, 5 cm
  • DA rhombus of side 5 cm

Step-by-Step Solution

A quadrilateral with an incircle needs AB + CD = BC + DA. Rectangle: 6 + 6 = 12 but 4 + 4 = 8, so it fails. Square and rhombus: all sides equal. Kite 3, 3, 5, 5: 3 + 5 = 3 + 5.
Answer: B) A 6 cm × 4 cm rectangle

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Tangent Lengths and Incircles practice questions

More Class 10 Tangent Lengths and Incircles practice

From P, tangents PA and PB are drawn to a circle with centre O and radius 5 cm, with OP…PA and PB are tangents to a circle with centre O and ∠APB = 50°. Find ∠OAB.A triangle with perimeter 24 cm has an inscribed circle of radius 3 cm. What is the area…A quadrilateral ABCD circumscribes a circle. The tangent lengths from A, B, C and D are…A point P is at a distance from the centre equal to the diameter of the circle. Find the…