 # A l 1 2 x 2 y 6 0 b l 1 4 x 6 y 0 c l 1 3 x 4 y 1 l 2

• 73

Course Hero uses AI to attempt to automatically extract content from documents to surface to you and others so you can study better, e.g., in search results, to enrich docs, and more. This preview shows page 39 - 42 out of 73 pages.

(a)L1: 2x– 2y– 6 = 0(b)L1: 4x– 6y= 0(c)L1: 3x+ 4y= 1L2:xy– 3 = 0L2: 9x+ 6y– 1 = 0(a)L2: 6x+ 8yExample 3.3[Book 4A 2.14(a)Two straight linesL1: 8x+ky–10 = 0 andL2: 4x+ 7y+h= 0 have an infinite number ofintersections. Find the values ofhand(b)Do the two straight linesL1: 3x+y+k= 0 andL2:kx– 2y+12 = 0 have an infinitenumber of intersections? Explain your answer.= –1]k.Daily Homework: Ex. 2C (13, 15, 16, 18, 20, 21, 24, 25, 26, 29)
4040Supplementary Exercise on Equations of Straight Lines (Optional)1.It is given that thex-intercept andy-intercept of straight lineLare 1 and 2 respectively.(a)Find the equation ofL.[2x+y– 1 = 0](b)Doeslie onL?[Yes]2.In the figure, straight linesL1:y= 2x+kandL2intersect atP(1,3(a)Find the value ofk.k).(b)If thex-intercept ofL2is 5, find the equation ofL23.In the figure, straight linesL1andL2intersect atP(2k,2k– 1). It is given thatthe slope ofL2is 2.(a)Find the coordinates ofP.[(–2, –3)](b)Find the equation ofL2.[2xy+ 1 = 0]4.In the figure, straight linesL1:x+y– 2b= 0 andL2:x= 3 intersect atA(a)Find the coordinates ofA.[(3, 3)](b)Find the equation of the straight line passing through the origin andA(a,b)..5.It is given that straight lineLpasses throughA(1, –5). If thex-intercept oftwice itsy-intercept, find the equation ofL.[x+ 2y+ 9 = 0]Lis6.Two pointsA(–5, 4) andB(–2, –2) are given.Cis a point onABproduced such thatAB:BC(a)Find the coordinates ofC.[(0, –6)](b)Find the equation of the straight line with the slope of 2 passing throughC= 3: 2..7.It is given that straight lineL:kx+ (2k– 3)y+ 4 = 0 passes throughP(2, –8) and cuts thex-axis andaxis atAandBrespectively.(a)Find the value ofk.y-(b)Find the area of ΔOAB.[4 sq. units]8.In the figure, straight lineL1: 3x– 2y+ 24 = 0 cuts thex-axis andy-axis atAandBrespectively. Straight lineL2is the perpendicular bisector of linesegmentABand cuts thex-axis andy-axis atCandDrespectively.(a)Find the coordinates ofAand(b)Find the equation ofL2.[2x+ 3y– 10 = 0]B.(c)Find the area ofODMA.[sq. units]9235yk13)0yOxL2L1: 3x-2y+24=0MADCB
Set 2: Measure, Shape and Space StrandEquations of Straight Lines41Prepared by hkmathslearn41Example 4.1[Further Practice]In the figure, the straight lineL1cuts they-axis atA(0,4) and thex-axis atB. The straight lineL2cut they-axis atCand hasslope 3. The straight lineL3:y=x– 4 passes throughBandL1andL2intersect atD(a)Find thex-intercept and they-intercept ofLC.. 3.(b)Find the equations ofL1andL2(c)Find the area of ΔBCD.Example 4.2[Further Practice]The figure shows three straight linesL1,L2andL3.L1passesthroughA(–8,5) andB(–2,2).L2passes through (–5,6) and itsx-intercept is –3.L3is perpendicular toL1and passes throughthe intersectionPofL1andL2. Find(a)the equations ofL1,L2andL.3.

Course Hero member to access this document

Course Hero member to access this document

End of preview. Want to read all 73 pages?

Course Hero member to access this document

Term
Fall
Professor
N/A
Tags
Euclidean geometry, Line segment
• • • 