# Lesson straight line

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 This Lesson (straight line) was created by by ASHISHCRAB(1)  : View Source, ShowAbout ASHISHCRAB: I AM B.S(MATHEMATICS) PASSOUT SCIENCE BACKGROUND I CHALLANGE TO SOLVE ANY QUESTION RELATED ABOUT CO ORDINATE GEOMETRY 1. The straight lines x+ y =0, 3x+ y =4, x+3y-4=0 form a triangle which is a) isosceles b) equilateral c). right angled d) none of these 2. The image of the point -1, 3 ), by the line x - y =0 is a) (3,-1 ) b) (1 , -3 ) c) (-1 , -1 ) d) (3 ,3 ) 3. The equations of perpendicular bisectors of the sides AB and AC of a triangle ABC are x-y+5=0 and x+2y=0 respectively. If the point A is (1, -2 ), the equation of the line BC is a) 23 x +14 y - 40 =0 b) 23x +14y + 40 = 0 c) 14 x +23y - 40 = 0 d) 14 x +23 y + 40 = 0 4. The equation of a line which passes through (a cos ?, a sin ?) and perpendicular to the line xsec? +y cosec ? =a is a) x cos ? + y sin ? = 2 a cos 2? b) x sin ? - y cos ?= 2 a sin 2? c) x sin ? + y cos ? = 2 a cos 2? d) None of these. 7. Two sides of an isosceles triangle are given by the equation 7x- y+3=0 and x+ y-3=0. If its third side passes through the point (1, -10 ), then its equations are a) x-3y-7 =0 or 3x+ y-31=0 b) x-3y-31=0 or 3x+ y-7=0 c) x-3y-31=0 or 3x+ y+7 =0 d) None of these. 9. The equations of the lines on which the perpendiculars from the origin make 30 angle with x - axis and which form a triangle of area with axes, are 50 / 3 a) x+ 3y ±10 = 0 b) 3x+ y ±10 = 0 c) x± 3y -10 = 0 d) None of these 10. The larger of the two angles made with x- axis of a straight line drawn through 1 , 2 so that it intersect x + y 6 = 4 at a distance from 1 , 2 ) is 3 a) 105° b) 75° c) 60° d) 15° 11. The equation of the line passing through the intersection of the line x-3y+1= 0 and 2x+5y-9 = 0 and at distance from the origin is 5 a) 2x- y =5 b) x+2y =5 c) 2x+ y =5 d) x+2y =1 12. The line x + y =4 divides the line joining -1 , 1 and ( 5 , 7 ) in the ratio ? :1, then the value of ? is 1 a) 2 b) c) 3 d) None of these 2 13. In a rhombus ABCD, the diagonals AC and BD intersect at the point 3 , 4 . If the point A is (1 ,2 ), the diagonal BD has the equation. a) x- y-1= 0 b) x+ y-1= 0 c) x- y+1= 0 d) x+ y-7 = 0 14. If the straight line ax + by + c = 0 and xcosa+ysin a=c,enclose an angle p / 4 between them and meet the straight line x sin a-y cos a =0 in the same point ,then 2 2 2 2 2 a) a +b =c b) a +b = 2 2 2 2 2 2 c) a +b =2c d) a +b = 4 15. If each of the points (x1,4) and (-2, y1) lies on the line joining the points (2 , -1 ) and (5 , - 3 ), then the point P(x , y1) lies on the line 1 a) x =3y b) x = -3y c) y = 2x+1 d) 2x+6y+1= 0. 16. The ratio in which the line 3x+4y+2 = 0 divides the distance between 3x+4y+5= 0 and 3x+4y-5 = 0 is a) 7 : 3 b) 3 : 7 c) 2 : 3 d) None of these 17. If the extremities of the base of an isosceles triangle are the points (2a, 0 ) and ( 0, a) and the equation of one of the sides is x = 2a, then the area of the triangle is a) 5 sq.units b) 5 / 2 sq. units c) 25 / 2 sq. units d) None of these. 18. The line 3x+2y = 24 meets y- axis at A and x- axis at B. The perpendicular bisector of AB meets the line through (0, -1 ) parallel to x- axis at C. Then area of the triangle ABC is a) 182 sq. units b) 91 sq.units c) 48 sq. units d) None of these. This lesson has been accessed 4232 times.