The circle x²+ y² = 4x + 8y + 5 intersects the line 3x – 4y = m at two distinct points if

-85 < m < -35

-35 < m < 15

15 < m < 65

35 < m < 85

Solution

-35 < m < 15

x²+ y²– 4x – 8y – 5 = 0
Centre (2, 4)
$straight r space equals space square root of space 4 space plus space 16 space plus 5 space end root space equals 5 3 space straight x minus space 4 straight y space minus space straight m space equals space 0 fraction numerator vertical line 6 minus 16 minus straight m vertical line over denominator 5 end fraction space less than space 5 rightwards double arrow space vertical line 10 minus straight m vertical line space less than space 25 rightwards double arrow space minus 35 space less than space straight m space less than thin space 15$

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Vector Algebra

The circle x²+ y² = 4x + 8y + 5 intersects the line 3x – 4y = m at two distinct points if

-85 < m < -35

-35 < m < 15

15 < m < 65

35 < m < 85

Some More Questions From Vector Algebra Chapter

The Boolean Expression (p∧~q)∨q∨(~p∧q) is equivalent to:

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

Vector Algebra

The circle x2+ y2 = 4x + 8y + 5 intersects the line 3x – 4y = m at two distinct points if -85 < m < -35 -35 < m < 15 15 < m < 65 35 < m < 85

Some More Questions From Vector Algebra Chapter

The Boolean Expression (p∧~q)∨q∨(~p∧q) is equivalent to:

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

The circle x²+ y² = 4x + 8y + 5 intersects the line 3x – 4y = m at two distinct points if

-85 < m < -35

-35 < m < 15

15 < m < 65

35 < m < 85