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Chapter 9: Q4. (page 335)

JT炉is tangent to 鈯�Oat T. Complete.

If JK=9 and KO=8, then JT=?

Short Answer

Expert verified

The value of JT=317.

Step by step solution

01

Step 1. Given information.

It is given that, JK=9,KO=8in the figure,

JO=JK+KO=17

Let, JT=x

02

Step 2. Concept used.

When a secant segment and a tangent segments are drawn to a circle from an external point then the product of the secant segment and its external segment is equal to the square of the tangent segment.

Therefore, from the given figure,

JT2=JK脳JOx2=9脳17x2=153x=317

03

Step 3. Neglect negative sign.

Since, length is positive

So, neglecting the negative value.

Therefore, the value of JT=317.

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