SATHEE: Circle 1 Question 14

Circle 1 Question 14

14. The lines $3 x - 4 y + 4 = 0$ and $6 x - 8 y - 7 = 0$ tangents to the same circle. The radius of this circle is…

(1984, 2M)

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Answer:

Correct Answer: 14. ( $\frac{3}{4}$ )

Solution:

Since, $3 x - 4 y + 4 = 0$ and $3 x - 4 y - \frac{7}{2} = 0$ are two parallel tangents. Thus, distance between them is diameter of circle

$\begin{aligned} \Rightarrow & Diameter & = \frac{| 4 + \frac{7}{2} |}{\sqrt{3^{2} + 4^{2}}} = \frac{15}{2.5} = \frac{3}{2} \\ and & radius & = \frac{3}{4} \end{aligned}$

Circle 1 Question 14

14. The lines $3 x - 4 y + 4 = 0$ and $6 x - 8 y - 7 = 0$ tangents to the same circle. The radius of this circle is…

Answer:

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Circle 1 Question 14

14. The lines 3x−4y+4=0 and 6x−8y−7=0 tangents to the same circle. The radius of this circle is…

Answer:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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14. The lines $3 x - 4 y + 4 = 0$ and $6 x - 8 y - 7 = 0$ tangents to the same circle. The radius of this circle is…