In figure- seg PS is a tangent segment- Line PR is a secant- If PQ-3-6 QR-6-4- find PSSolution - PS2-PQ-PR- tangent secant segments theorem-P Q -P Q-Q R -3-6 -3-6-6-4- -3-6 - 10 -36 - P S -6

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Relation between a Line and The Circle

In figure, se...

Question

In figure, seg PS is a tangent segment. Line PR is a secant. If $P Q = 3.6$ $Q R = 6.4$ , find $P S$
Solution $: {P S}^{2} = P Q \times P R \dots$ tangent secant segments theorem
$\begin{matrix} = P Q \times (P Q + Q R) = 3.6 \times [3.6 + 6.4] = 3.6 \times 10 = 36 ∴ P S & = 6 \end{matrix}$

Open in App

Solution

Suggest Corrections

Similar questions

P S

A P Q R

P T ⊥ Q R

{P R}^{2} = {P S}^{2} + Q R \times S T + {(\frac{Q R}{2})}^{2}

P^{2} = {P S}^{2} - Q R \times S T + {(\frac{Q R}{2})}^{2}

P :

Q :

R :

2

∠ Q P R = 90^{\circ}, P S

S T ⊥ P R

S T \times (P Q + P R) = P Q \times P R

Join BYJU'S Learning Program