InterviewSolution

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1.	Why is coordinate geometry used?(a) To find square root of a number(b) To locate a point in a plane precisely(c) To create different shapes(d) To multiply numbersI had been asked this question in examination.The doubt is from Coordinate Geometry & Cartesian System in division Coordinate Geometry of Mathematics – Class 9
Answer» The correct option is (b) To locate a point in a plane precisely The best I can explain: CONSIDER the diagram given below. Suppose we want to KNOW the location of point p, would it be enough if we only KNEW that the distance between the point and x – axis is 4? Would it be enough if we only knew that the distance between the point and y – axis is 6? Certainly not. But if we know that it’s distance from x – axis and y – axis is 4 and 6 respectively, then we can easily locate it in a plane. Hence, coordinate geometry makes it easier to locate any point in a plane precisely.

2.	Point p(-3, 5) lies in __________ quadrant.(a) 1^st(b) 2^nd(c) 3^rd(d) 4^thThis question was addressed to me during an interview.Asked question is from Plotting a Point in the Plane if its Coordinates are Given in section Coordinate Geometry of Mathematics – Class 9
Answer» Correct option is (b) 2^nd For EXPLANATION: As shown in the diagram below, p(-3, 5) means that its x-coordinate is -3 and y-coordinate is 5. Therefore point’s distance from y-AXIS will be 3 in negative direction (Along XX’ axis) and its distance from x-axis will be 5 in POSITIVE direction (along OY axis). Considering this, we can locate the point p(-3, 5) as shown in diagram which lies in 2^nd quadrant. OR Short TRICK: We can see that p(-3, 5) is of (-, +) form. We KNOW that any point of (-, +) form lies in 2^nd quadrant.

3.	If a point is in 2^nd quadrant, then it is in __________ form.(a) (+, +)(b) (+, -)(c) (-, +)(d) (-, -)I got this question by my college professor while I was bunking the class.I would like to ask this question from Coordinate Geometry & Cartesian System topic in chapter Coordinate Geometry of Mathematics – Class 9
Answer» Correct choice is (c) (-, +) The explanation is: As SHOWN in diagram below, any POINT in 2^nd QUADRANT will be in the FORM (-, +) since 2nd quadrant is enclosed by negative x – axis and POSITIVE y – axis. Similarly, any point in 1^st quadrant will be in the form (+, +). Any point in 3^rd quadrant will be in the form (-, -). Any point in 4^th quadrant will be in the form (+, -).

4.	Point (6, 9) and (9, 6) are same.(a) True(b) FalseThe question was posed to me in an interview for internship.My question is taken from Coordinate Geometry & Cartesian System in section Coordinate Geometry of Mathematics – Class 9
Answer» Right answer is (b) False The explanation is: POINT (6, 9) and point (9, 6), both are shown in the diagram below. We can SEE that they are not the same SINCE x and y coordinates of point (6, 9) are 6 and 9 respectively while x and y coordinates of point (9, 6) are 9 and 6 respectively.

5.	How many parts does the axes divide the plane into?(a) One(b) Two(c) Three(d) FourI had been asked this question in unit test.I would like to ask this question from Coordinate Geometry & Cartesian System in chapter Coordinate Geometry of Mathematics – Class 9
Answer» RIGHT option is (d) Four For explanation I would SAY: As shown in diagram, TWO axes XX’ and YY’ DIVIDE the plane into four parts. One part is Each part is called QUADRANT. They are measured anticlockwise from axis OX.

6.	Which of the following are positive directions?(a) OX’ and OY’(b) OX and OY’(c) OX’ and OY(d) OX and OYThis question was addressed to me during an online interview.Asked question is from Coordinate Geometry & Cartesian System topic in portion Coordinate Geometry of Mathematics – Class 9
Answer» The CORRECT OPTION is (d) OX and OY The best I can EXPLAIN: As shown in below DIAGRAM, Positive numbers lie on the directions OX and OY and Negative numbers lie on the directions OX’ and OY’, therefore positive directions are OX and OY.

7.	Point where XX’ and YY’ intersect, is called __________(a) abscissa(b) ordinate(c) origin(d) coordinateI got this question during an online exam.Asked question is from Coordinate Geometry & Cartesian System topic in chapter Coordinate Geometry of Mathematics – Class 9
Answer» RIGHT option is (c) ORIGIN Easy EXPLANATION: As shown in diagram, point where XX’ and YY’ INTERSECT, is denoted by “O”. It is called Origin.