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Uwit-4 Co-ordinate reom etry - 14h Marks a ¥ Distemee Foamubet 4 sponte eae : TH MOG) and B Ct,Y5) thew AB = Jc xu024 Cy —uP maa hy ay AR = (om - 497+ Cys 449 ! C eae | eS oe 1Y. d ARB) CM —y 97+ CY, a Me 2. =Yy" * Find the distemece befween dhe Points (4,5) and 4,3). 2 * Fivd dhe distemze between dhe Ppotuts (4,3) cud Co,-4). * Frad the distemee between the po(ywts (4,1) and (4-4). * Find the distemee beteveen tre poids (4-5) dd (2,-2), * Find dle distemze between 4he points (1,2) aud Ct, 6). * d003,29, c4,v]= * Tt piste md paint of a live seqmeut AQ tor the pelts frE2,-1) aud Bh, 3) thea tind P, * It the wud pelut oF Line seqment AGB is (44) aud BY, 3) then 4dtnd Co-ordimecte of A. X It the dictenee between the point Co,4) aud C2, m) is 40 ten tind the value of wm, ¥ co—Lineanl Hy ‘ my wy + LE D=o Hen Uview thaee verter D> oe ies are co—hineor. % yo 4 (3,2) (64) (716) 110 Et) 2 BR wise ce oF AB > AC+BC G3,-2) ($12) GA) Ac ~AG4+Be Bc = AB + Ae Scanned with CamScanner Scanned with CamScanner ar The eq" of ine passing thaough Ye points (2,102 4,3), cig Cex 434-F=0) * Find dhe ea et Line Passing Hheough the petits (2,2) & (3, -1). (Cu bY -4 10) Pessiing trough dhe porvats CHE BIE 9. <), of hne Passing Hireovestty the peotud C-2,-3) dvd ©) Find the eq" ot Lie Aud the eq" hang Slope Sp. €2%-2y =0) * Ef ‘ , a Hie eM ot line Pass iva Jlaougl the pont C2,8) rapes | NAY Slope -h, % * Angle between two Lines 1 My -M2 Tend = re where my =-Slepe ot direst line ' WM, = clepe ef Second |\ine @ = Rnsyte between use lines. 1] —M2 ~-G-tm ons © 4 tm4M2 HX The Cimgle between too Line Is US Bethe slepe ot Hast Line — is 2 Find Slepe of othey line. [ns eran a a %) Fiad the angie between two strevgte line «+= = ~ Y= 0, C Ca) ke Find the angle between +eoo Stralglt Jine Gx —att=0 and X-VBY+Q20 Ce=2) * Find the ame between +o shel yt Wie X+4Y4p4 =0 Ond 2x +4+3444 =0 (0-4) an ail Scanned with CamScanner © Condition of +wo Parallel Line my =o. * Condition ct devo perrpendiculue ne ae ge a X Prove that Lne 22 42444120 cnd 6%+4Yyt3=0 are Parauel, * prove dod line 4x+y-1=50 and p Cy Ptndiculaa, * Cheek dhe Une 3% +24 4+4=0 cand Axc-3ytt=o0 ane purerliel OR Perv pendicrlers. ¥ It 4+eo Lines 2x+4ymy +20 and 2my-Ixtioso Ure pervpendiculr * Cach ethew then tind value ot m. HIF two Lines ooc-—py=3 and Axct3y=4 cue perpendiculun to each other then aE Wve bue oe pupeliel then tind P ¥ It +eoo Lines 3mxX—Amy-41os0 and Csm+a)%c-hmy—-agso ane Paratiel +o each other then tind value of wi. Ces) 4 ; ys oy & 2x-21y+2=000e ( 0 Gwen eq ot Line Pdaotlel +o ne enctby+C=o 1S antbhy+k=o | sk oenened eq ot Line perpendicula2 to Line axctby+c=o0 Is | bx - ay +kK>0 - + ”~ + - ste + o+ mty-1=-o % Find the equdion et bine Peimedlel to He Lime 2 CAX +Y 43 =0) and passing through the pelnt (4,5), ARind He equation ot bine pdecille! to the Line UX-34+t =0 | and passing thaough tHe potat (4, 3). (4ix—34—-t=0) x Find the equation of Line perpendicular +o the lne Ax-¥ +S =0 ond passing through te potet (4,-2). (z4+4ytt=0) # Find the equeatiey ct Line pevpendiculeia to dhe line x-3Y+3=0 and pessing +eovgh the pert ¢-1,29, Caxty+iso) % Etnd He Cquectten ot bine perpendiculir +o thre line -ax +4y+4=0 aud passing Hyweough the point C4, 3). Cax+3y—ar=o) w Find the equedion of Wine perpendiculeis to tre line ax-ay+y~0 avd Passing Hzough are Ppolud (4,3). Cax 43y— {4 20) # Find the equecion ot Line perpendivulr +o +he Line Y-wpctd =o and POsSing theougt, the petat C2). tay 6 =e) - Scanned with CamScanner ~~ CP =2. : pu) Ch ae (=n Nn ~ Ca-hjt4 cy-khe pe COh,¥) Cenk Ye. Pont ¢Ch,k) td calves “# Hon eqn ot cinele is Cx ho® + cy nyt = 22 > TT Cukye Polut Cto,°) cund Jeadivs 2 then eg” of Cirle ts i x pyr * Frid equedion of crrele hening coutye (¢,4) and reds s, (xtayh—4 2x ~14y 460 =o) * Find equedion ot Circle hawing contye C25) and rodivs 4, Otay’ 4uL-40y +43= 0) *% End the equedion ot Cizele being Cortye ee temggul te Keascts: Orltyeax- 6th 0) © Find He equedten ot ciacle Laving centve (3,4) and. tomged to Y-Qous. (ar ayr— Gx +64 +4.¢=0) y Find the equation ot cirele hening ceat ye C4,t) and Passing though (2,4), Car ay®aoc—2y 16 =>) *% Find the equedion of cidule hewing cet ve (4,3) aud passing thawugh (4,-2). (vigys- gx -6Y-9= 0) x Find the equection of ciftele lowing Ceutve (8,3) And parsing tHreeugh (3,4), (xt gyt- x64 44-0) & Find the equedien of circle owing cemtye (4,4) and | th Okan ale raed (xi4y*—goc- €y = 0) Contre 2:6) Passing Hough te tormsecdon ab SMe CRY-3200) Ca yt2=0 eayyed, 2s oy yey yt 12444 =O “Scanned with CamScanner * Genero] Oquetien of cirelé ah + 3 429 CF Hye =o. ee ceutve = © 4,-f) redid. andes aye ago + Afy+C =0 ake ge eat p yt eats tt+c—9%- fi a0 (xn4gh4 Cy ato = static | *. Cx-egoR to -e-py- artic Comparing oh aby + (y-ky* Bl yse Hien we lave ¢Ch, k= ¢(-9,-f) = Br = ah 4f3—€ 20 ¥ Find Contve and radivds of circle ott y*-antyy-t=o Ccmktre (1,2) rf) | ~ Find centve and aodius ot circle a rts 4x-649-Yy=0 Ccetre (2,3), %- iq) *% Frud centye and godiw ab cirele Wok +yyre §9C-424Y-3 >0 Ccedtve (1,3), 2=2) & Find cedre aud ecdia of Circle axrtayteyn tey-+t = Ceentye (-1 ,-%), 2=[) «Find Centve amd aedius of Circle este sey at — 364-43 >0 Ceentve (-Yy,\)), 2=4) x rt redin of a Cizecle xX+y—yx-Bytkre 1s 4 vatt. then Hind Value oF K, Ck=u) ¢at rodiud of a circle axrttayi—4x-wY+k=o ts 4 Unt. then tnd value of XK. (= 2.2), x Th rediw of a citele wt +y¥ —Axr-4qytk=o ls 4 vwit Hen Hnd vedue of K (Ck =-8). % Find the eq" of cimele hewiny contre 2,5) and pass ivy through the tuterseetion of Iinek axtY¥-3=0 avd X-3y+2 =o, Cxrstyet, er=ae oh aye pan-tay+h> 0) ayes es slit wf Scanned with CamScanner 
