The unit Straight Line holds sheer significance in the JEE Advanced and other engineering exams. It has a weightage of 6% pairing with Circles. With focused practice good marks can be
fetched from this section. These questions are important in
achieving your success in JEE and Other Engineering Exams..

**Q1. Statement 1: Let the vertices of a ∆ABC are A(-5,-2),B(7,6) and C(5,-4). Then coordinates of circumcentre are (1, 2)**

Statement 2: In a right angle triangle, midpoint of hypotenuse is the circumcenter of the triangle

Statement 2: In a right angle triangle, midpoint of hypotenuse is the circumcenter of the triangle

**Q2. Statement 1: Each point on the line y-x+12=0 is equidistant from the lines 4y+3x-12=0,3y+4x-24=0**

Statement 2: The locus of a point which is equidistant from two given lines is the angular bisector of the two lines

Statement 2: The locus of a point which is equidistant from two given lines is the angular bisector of the two lines

**Q3. Statement 1: If (a**

Statement 2: If sum of the equations for three straight lines is identically zero, then they are either concurrent or parallel

_{1}x+b_{1}y+c_{1})+(a_{2}x+b_{2}y+c_{2})+(a_{3}x+b_{3}y+c_{3})=0, then lines a_{1}x+b_{1}y+c_{1}=0,a_{2}x+b_{2}y+c_{2}=0 and a_{3}x+b_{3}y+c_{3}=0 cannot be parallel.Statement 2: If sum of the equations for three straight lines is identically zero, then they are either concurrent or parallel

**Q4. Statement 1: If -2h=a+b, then one line of the pair of lines ax**

Statement 2: If ax+y(2h+a)=0 is a factor of ax

^{2}+2hxy+by^{2}=0 bisects the angle between coordinate axes in positive quadrantStatement 2: If ax+y(2h+a)=0 is a factor of ax

^{2}+2hxy+by^{2}=0, then b+2h+a=0**Q5. Statement 1: The internal angle bisector of angle C of a triangle ABC with sides AB,AC and BC as y=0,3x+2y=0 and 2x+3y+6=0, respectively is 5x+5y+6=0**

Statement 2: Image of point A with respect to 5x+5y+6=0 lies on side BC of the triangle

Statement 2: Image of point A with respect to 5x+5y+6=0 lies on side BC of the triangle

**Q6. Statement 1: Each point on the line y-x+12=0 is equidistant from the lines 4y+3x-12=0,3y+4x-24=0**

Statement 2: The locus of a point which is equidistant from two given lines is the angular bisector of two the lines

Statement 2: The locus of a point which is equidistant from two given lines is the angular bisector of two the lines

**Q7. Statement 1: The lines (a+b)x+(a-b)y-2ab=0,(a-b)x+(a+b)y-2ab=0 and x+y=0 form an isosceles triangle**

Statement 2: If internal bisector of any of triangle is perpendicular to the opposite side, then the given triangle is isosceles

Statement 2: If internal bisector of any of triangle is perpendicular to the opposite side, then the given triangle is isosceles

**Q8.**

**Statement 1: If the vertices of a triangle are having rational coordinates then its centroid, circumcentre and orthocentre are rational**

Statement 2: In any triangle, orthocentre, centroid and circumcentre are collinear and centroid divides the line joining orthocentre and circumcentre in the ratio 2:1

Statement 2: In any triangle, orthocentre, centroid and circumcentre are collinear and centroid divides the line joining orthocentre and circumcentre in the ratio 2:1

**Q9. Statement 1: The area of the triangle formed by the points A(1000,1002),B(1001,1004),C(1002,1003) is same as the area formed by A'(0,0), B'(1,2), C'(2,1)**

Statement 2: The area of the triangle is constant with respect to translation of axes

Statement 2: The area of the triangle is constant with respect to translation of axes