Home
Class 12
MATHS
Equation of the straight line meeting th...

Equation of the straight line meeting the cirle with centre at origin and radius equal to 5 in two points at equal distances of 3 units from the point (3,4) is

A

A. `6x +8y = 41`

B

B. `6x - 8y +41 = 0`

C

C. `8x +6y +41 = 0`

D

D. `8x -6y +41 = 0`

Text Solution

Verified by Experts

The correct Answer is:
A

Equation of circle whose centre is at (3,4) and radius is equal to 3 is `(x-3)^(2) + (y-4)^(2) =9`
Given circle is `x^(2) +y^(2) = 25`.
Now the equation of straight line is the common chord of the two circles.
`rArr 6x +8y = 41`
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|9 Videos

  • CIRCLES

    CENGAGE PUBLICATION|Exercise Comprehension Type|8 Videos

  • CIRCLE

    CENGAGE PUBLICATION|Exercise For problems 3 and 4|2 Videos

  • COMPLEX NUMBERS

    CENGAGE PUBLICATION|Exercise MULTIPLE CORRECT ANSWER TYPE|6 Videos

Similar Questions

Explore conceptually related problems

Find the equations of the two straight line parallel to the line 3x+4y=15 and at a distance of 7.5 unit from the point (1,-2).

Find the equations of the two straight line parallel to the line 3x+4y=15and at a distance of 7.5 unit from the point (1,-2).

Find the equation of the circle whose centre is the points (2,-3) and radius 5 units.

Find the equation of the straight line which is perpendicular to the straight line 3x-2y+5=0 and whose distance from the origin is equal to the perpendicular distance of the given line from the point (2,-1).

Find the equations of the two straight lines through the point (0,2) , which are at a distance of 2 unit from the point (4,4).

The equation of set of lines which are at a constant distance 2 units from the origin is

Find the equations to the straight lines which are at a distance of 2 unit from the origin and which pass through the point of intersection of the lines 3x+4y=4 and 2x+5y+2=0 .

Find the equations of straight lines which are perpendicular to the straight line 4x-3y+7=0 and at a distance of 3 unit from the origin.

Find the equation of the straight line passing throught the point (-3,4) and parallel to the straight line 2x-3y=5.