Classes

Second Year Math Introduction to Analytic Geometry


Change the way you learn with Maqsad's classes. Local examples, engaging animations, and instant video solutions keep you on your toes and make learning fun like never before!

Class 9Class 10First YearSecond Year
Findthelinesrepresentedbyeachofthefollowingandalsofindmeasureoftheanglebetweenthem(Problems16):4.2x2+3xy5y2=0Find the lines represented by each of the following and also find measure of the angle between them (Problems 1-6):4. 2 x^{2}+3 x y-5 y^{2}=0

23. Find the distance between the given parallel lines. Sketch the lines. Also find an equation of the parallel line lying midway between them.(a) 3 x-4 y+3=0 ; 3 x-4 y+7=0
23. Find the distance between the given parallel lines. Sketch the lines. Also find an equation of the parallel line lying midway between them.(a)  3 x-4 y+3=0  ;  3 x-4 y+7=0

23.Findthedistancebetweenthegivenparallellines.Sketchthelines.Alsofindanequationoftheparallellinelyingmidwaybetweenthem.(a)3x4y+3=0;3x4y+7=023. Find the distance between the given parallel lines. Sketch the lines. Also find an equation of the parallel line lying midway between them.(a) 3 x-4 y+3=0 ; 3 x-4 y+7=0

10. Find the angle measured from the line l_{1} to the line l_{2} where(a)\[\begin{array}{l}l_{1}: \text { Joining }(27) \text { and }(710) \\l_{2}: \text { Joining }(11) \text { and }(-53)\end{array}\]
10. Find the angle measured from the line  l_{1}  to the line  l_{2}  where(a)\[\begin{array}{l}l_{1}: \text { Joining }(27) \text { and }(710) \\l_{2}: \text { Joining }(11) \text { and }(-53)\end{array}\]

10. Find the angle measured from the line l_{1} to the line l_{2} where(a)\[\begin{array}{l}l_{1}: \text { Joining }(27) \text { and }(710) \\l_{2}: \text { Joining }(11) \text { and }(-53)\end{array}\]

3. By means of slopes show that the following points lie on the same line:(a) (-1-3) ;(15) ;(29)
3. By means of slopes show that the following points lie on the same line:(a)  (-1-3) ;(15) ;(29)

3.Bymeansofslopesshowthatthefollowingpointslieonthesameline:(a)(13);(15);(29)3. By means of slopes show that the following points lie on the same line:(a) (-1-3) ;(15) ;(29)

14. Find the point three-fifth of the way along the line segment from A(-58) to B(53) .
14. Find the point three-fifth of the way along the line segment from  A(-58)  to  B(53) .

14.FindthepointthreefifthofthewayalongthelinesegmentfromA(58)toB(53).14. Find the point three-fifth of the way along the line segment from A(-58) to B(53) .

10. Find the angle measured from the line l_{1} to the line l_{2} where(b) l_{1}: Joining (3-1) and (57) l_{2}: Joining (24) and (-82)
10. Find the angle measured from the line  l_{1}  to the line  l_{2}  where(b)  l_{1}:  Joining  (3-1)  and  (57)  l_{2}:  Joining  (24)  and  (-82)

10.Findtheanglemeasuredfromthelinel1tothelinel2where(b)l1:Joining(31)and(57)l2:Joining(24)and(82)10. Find the angle measured from the line l_{1} to the line l_{2} where(b) l_{1}: Joining (3-1) and (57) l_{2}: Joining (24) and (-82)

Example 5: Find an equation of the line through the point P(23) which forms an isosceles triangle with the coordinate axes in the first rant.
Example 5:    Find an equation of the line through the point  P(23)  which forms an isosceles triangle with the coordinate axes in the first rant.

Example5:FindanequationofthelinethroughthepointP(23)whichformsanisoscelestrianglewiththecoordinateaxesinthefirstrant.Example 5: Find an equation of the line through the point P(23) which forms an isosceles triangle with the coordinate axes in the first rant.

banner6000+ MCQs with instant video solutions