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Category: Coordinate Geometry

th-forces-F-1-F-2-F-3-act-at-points-ith-position-vectors-r-1-r-2-r-3-where-F-1-4i-j-2k-N-r-1-6i-4j-k-m-F-2-i-2j-k-N-r-2-i-5j-2k-m-F-3-5i-

Question Number 95726 by Rio Michael last updated on 27/May/20 thforcesF1,F2,F3actatpointsithpositionvectorsr1,r2,r3whereF1=(4i+j+2k)Nr1=(6i+4j+k)m$${F}_{\mathrm{2}} \:=\:\left({i}−\mathrm{2}{j}\:+\:{k}\right){N}\:\:\:\:\:\:\:\:\:\:\:{r}_{\mathrm{2}} \:=\:\left({i}\:+\:\mathrm{5}{j}\:−\mathrm{2}{k}\right)\:\mathrm{m}…

find-the-equation-of-the-circle-containing-the-point-2-2-and-passing-throught-the-points-of-intersection-of-the-two-circle-x-2-y-2-3x-2y-4-0-and-x-2-y-2-2x-y-6-0-

Question Number 95639 by i jagooll last updated on 26/May/20 findtheequationofthecirclecontainingthepoint(2,2)andpassingthroughtthepointsofintersectionofthetwocirclex2+y2+3x2y4=0and$$\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} −\mathrm{2x}−\mathrm{y}−\mathrm{6}=\mathrm{0}…

Question-29960

Question Number 29960 by rahul 19 last updated on 14/Feb/18 Answered by ajfour last updated on 15/Feb/18 $$\frac{{x}^{\mathrm{2}} }{{a}^{\mathrm{2}} }+\frac{{y}^{\mathrm{2}} }{{b}^{\mathrm{2}} }=\mathrm{1}\:\Rightarrow\:\:\frac{{x}}{{a}^{\mathrm{2}} }+\frac{{y}}{{b}^{\mathrm{2}} }\left(\frac{{dy}}{{dx}}\right)=\mathrm{0} \

Q-A-light-falls-on-two-slits-0-15-mm-apart-An-interference-pattern-is-produced-on-a-screen-60-cm-from-the-slits-if-the-distance-between-the-second-and-the-fifth-bright-bands-frings-is-0-7-cm-Ca

Question Number 95341 by AshrafNejem last updated on 24/May/20 Q)Alightfallsontwoslits0.15mmapart.Aninterferencepatternisproducedonascreen60cmfromtheslits,ifthedistancebetweenthesecondandthefifthbrightbands(frings)is0.7cm.Calculatetheavelengthoftheusedlight.solution:$$\Delta{y}_{{n}=\mathrm{2}\rightarrow\mathrm{n}=\mathrm{5}} =\mathrm{0}.\mathrm{7}\Rightarrow\Delta{y}=\mathrm{0}.\mathrm{7}/\mathrm{3}=\mathrm{0}.\mathrm{233}×\mathrm{10}^{−\mathrm{2}} \:{m} \