Which of the following straight lines are both tangent to the circle x ^ 2 + y ^ 2 - 6x + 4y - 12 = 0? Option 1: 4x+3y+19=0, 4x+3y-31=0 Option 2: 4x+3y-19=0, 4x+3y+31=0 Option 3: 4x+3y-19=0, 4x+3y-31=0 Option 4: 4x+3y+19=0, 4x+3y+31=0

The answer is '4x+3y+19=0, 4x+3y-31=0'. View full solution:

IPMAT Indore - Which of the following straight lines are both tangent to the circle x ^ 2 + y ^ 2 - 6x + 4y - 12 = 0? | PYQs + Solutions

IPMAT Indore

Geometry

Medium

$4x+3y+19=0, 4x+3y-31=0$

$4x+3y-19=0, 4x+3y+31=0$

$4x+3y-19=0, 4x+3y-31=0$

$4x+3y+19=0, 4x+3y+31=0$

✅ Correct Option: 1

Related questions:

IPMAT Indore 2019

The circle $x^2 + y^2 - 6x - 10y + k = 0$ does not touch or intersect the coordinate axes. If the point $(1, 4)$ does not lie outside the circle, and the range of $k$ is $(a, b]$ , then $a + b$ is

IPMAT Indore 2026

Let ABCD be a rectangle with AB = 72 cm and BC = 30 cm. A circle passing through points A and C cuts the side AB at P such that AP = 56 cm. The radius, in cm, of the circle is

IPMAT Indore 2024

If the shortest distance of a given point to a given circle is $4 \, \text{cm}$ and the longest distance is $9 \, \text{cm}$ , then the radius of the circle is

IPMAT Indore (MCQ) PYQs

Keyboard Shortcuts