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Let's do this question, the point of intersection of three X plus four Y minus six is equal to zero

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and two X plus three Y minus 10 is equal to zero is in whether it's in the 1st Squadron, 2nd Squadron,

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3rd or 4th Quadrant.

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All right.

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Pause the video, give it a try and then let's do it together.

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All right.

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We're back.

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Let's do it together.

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Remember, the X Y plane is divided into four quadrants, right?

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This is the first quadrant.

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This is the second quadrant.

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This is the third quadrant.

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And this is the fourth quadrant.

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All right.

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Over here, we are given two lines.

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This is line one and this is line two right now.

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One way of solving this question is you can solve these two given equations.

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And if you find the point of intersection, you can find in which quadrant that point lies, the other

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ways you just need to plot these equations in an approximate manner.

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And looking at the slope and the way the line is, you can identify where the point of intersection

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can be.

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So that is much faster.

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Let's try to find it out using that method.

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All right.

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So over here I have my x axis and this is my Y axis.

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Now, let's plot the first line over here.

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That's three X plus four Y, minus six is equal to zero.

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Now, the plot, this line, I just need two points right now.

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Let's substitute X is equal to zero.

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When X is equal to zero.

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This becomes or Y minus six is equal to zero.

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Right.

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That is why is equal to three by two.

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Therefore one point would be zero.

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Three by two.

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Right now let's put Y is equal to zero.

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When Y is equal to zero we get three, X minus six is equal to zero or X is equal to two.

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That is to zero is also one more point.

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So we have two points over here.

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Let's plot these two points.

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This is zero three by two and this is two zero.

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Now let's draw a line that's passing through these two points.

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All right, so this is the line one which is given to us now, let's put X is equal to zero into this

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equation.

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So we get three, Y is equal to 10, or Y is ten by three.

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Right.

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And let's put.

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Why is equal to zero?

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Into this equation that gives us two X equal to 10.

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That is X is equal to five.

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So the second point would be five zero.

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Let's plot these two points.

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But this is five zero and this is zero ten by three.

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Let's join these two points and draw a line.

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So this is the line.

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And now looking at this, you can easily understand that these two lines are going to intersect in this

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second quadrant right over here.

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The distance is reducing over here.

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The distance between them is increasing.

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So they are going to intersect over here.

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That's the second quadrant.