Let ABC be a right triangle in which AB = 3 cm, BC = 4 cm and ∠B= 9

1.	Let ABC be a right triangle in which AB = 3 cm, BC = 4 cm and ∠B= 90°. BD is the perpendicular from B on AC. The circle through B, C, D is drawn. Given below are the steps of constructions of a pair of tangents from A to this circle. Which of the following steps is INCORRECT?Steps of ConstructionStep I : Draw ΔABC and perpendicular BD from B on AC.Step II : Draw a circle with BC as a diameter. This circle will pass through D.Step III : Let O be the mid-point of BC. Join AO.Step IV : Draw a circle with AO as diameter. This circle cuts the circle drawn in step II at B and P. AO, AP and AB are desired tangents drawn from A to the circle passing through B, C and D.(A) Only Step I(C) Only Step III(B) Only Step II(D) Only Step IV
Answer» The correct option is: (D) Only Step IV Explanation: Only AB and AP are tangents to the given circle. AO is secant to the circle. So, step IV is incorrect.

Let ABC be a right triangle in which AB = 3 cm, BC = 4 cm and ∠B= 90°. BD is the perpendicular from B on AC. The circle through B, C, D is drawn. Given below are the steps of constructions of a pair of tangents from A to this circle. Which of the following steps is INCORRECT?Steps of ConstructionStep I : Draw ΔABC and perpendicular BD from B on AC.Step II : Draw a circle with BC as a diameter. This circle will pass through D.Step III : Let O be the mid-point of BC. Join AO.Step IV : Draw a circle with AO as diameter. This circle cuts the circle drawn in step II at B and P. AO, AP and AB are desired tangents drawn from A to the circle passing through B, C and D.(A) Only Step I(C) Only Step III(B) Only Step II(D) Only Step IV

Answer»

The correct option is: (D) Only Step IV

Explanation:

Only AB and AP are tangents to the given circle.

AO is secant to the circle.

So, step IV is incorrect.

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