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Let's do this question, consider all zero zero eight to zero and be zero to be X, Y is a set of points

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that satisfies X plus Y greater than two and X into Y greater than zero.

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All right.

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Now was the video.

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Give it a try and then let's do it together.

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All right, so we have to identify which among these false statements is correct about point B, right.

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And B is a general point that speaks right now.

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Let's plot the axis over here.

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All right, now we know these three points that are given to us, let's applaud them.

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And I have joined and be right to this point over here is zero zero, so this is all right, point A's

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to zero.

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So you have two units over here and zero units along the Y axis.

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That's two zero.

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And point B is zero to.

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All right, now we need to find the point B, X, Y, such that X plus why is greater than two and X

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into Y is greater than zero.

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So as of now, we have not yet discussed the way to describe a line in the X Y plane.

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But let's make a crude observation over here.

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Now, any point that you take to this direction of this line will have X plus Y greater than two.

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Is that true?

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Let's try out let's take a point, say, over here.

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Let this be four zero right now.

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In this case, what is X plus?

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Why, that's four plus zero, which gives you four.

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And that is greater than two right now.

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What about if I take a point over here, that's three three that also will have explores why greater

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than two.

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Right.

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And if I take any point along this line, you will see that they will have values that X plus.

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Why add up to two right now?

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We will learn more about this when we learn how to describe or write the equation of a line in the X

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Y plane.

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But this is an introductory example.

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So let's proceed with basic logic and crude observations.

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All right.

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Now, any point to this side of X plus why I just joined in.

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We right.

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Any point to this direction of this line will have X plus Y greater than two, right?

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All right, so these sections will have X plus Y greater than two now over here, we need B, X, Y,

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such that X plus why is greater than do so B has to be in this direction.

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Right.

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And it is mentioned that X into Y has to be greater than zero.

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So if X and Y has to be greater than zero, either both of them should be positive or both of them should

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be negative.

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Right.

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Let's take an example.

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Two into three.

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That gives you six.

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That's greater than zero, right?

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Two in the minus three.

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That's minus six.

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That is not greater than zero.

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So that does not qualify.

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What about minus two into three?

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This is minus six.

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So it does not qualify because it's not greater than zero.

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What about minus two in the minus three.

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That is six.

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And that is greater than zero.

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So these two qualify, right?

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Therefore, either both of them should be positive or both of them should be negative.

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All right.

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We have discussed that the axis divide the X Y plane into four quadrants.

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Right.

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So these are the four quadrants now in these quadrants where all will X and Y be positive and where

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will be X and Y negative?

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Let's try to understand that C, I take a point in the first quadrant.

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This could be two two.

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Right.

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This case, you can see that X is positive and Y is positive.

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If I take a point over here, you can see that I have to move in the negative direction of the X axis.

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Right.

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So this over here could be minus two, two, two.

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X is negative and Y is positive.

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What about a point over here?

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This one also requires moving in the negative direction in the X axis and in the negative direction

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in the Y axis.

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But this could be minus two, minus two.

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And over here, if I take a point, say this could be two minus two, because it requires going in the

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positive direction of the X axis and in the negative direction of the Y axis.

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So it's positive two and then negative two.

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Now you can see that X and Y are positive in the first quadrant and X and Y are negative in the third

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quadrant to ask for this criteria.

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Point B can either be in the first or the third quadrant.

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All right.

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Now, as per this criteria, that X plus why it has to be greater than two, right?

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It cannot be in the third quadrant.

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You can see that you have some points in the first quadrant, second quadrant and fourth quadrant,

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which satisfies X plus.

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Why greater than two?

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But there is no point over here.

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Therefore, taking these two conditions together, taking these two conditions together, that is first

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quadrant is this section and X plus.

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Why greater than two is anything to this side of this line, these two conditions together we get that.

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The answer is option B, that is B lies outside triangle or A, B and is in the first quadrant.

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And that is your answer to this question.