Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

ICSE Class 10 Answered

if a sec theta +b tan theta +c=0 and p sec theta +qtan theta +r =0 then prove that (br-qc)^2 -(pc-ar)^2=(aq-bp)^2
Asked by kmondaldgms | 17 Aug, 2018, 00:04: AM
answered-by-expert Expert Answer
begin mathsize 16px style straight a space secθ space plus space straight b space tanθ space plus space straight c space equals space 0 rightwards double arrow straight c space equals space minus left parenthesis straight a space secθ space plus space straight b space tanθ right parenthesis straight p space secθ space plus space straight q space tanθ space space plus space straight r space equals space 0 rightwards double arrow space straight r space equals space minus left parenthesis straight p space secθ space plus space straight q space tanθ right parenthesis straight L. straight H. straight S space equals left parenthesis br space minus space qc right parenthesis squared space minus space left parenthesis pc space minus space ar right parenthesis squared space space space space space space space space space equals open square brackets straight b open parentheses negative straight p space secθ space minus space straight q space tanθ close parentheses minus space straight q open parentheses negative straight a space secθ space minus space straight b space tanθ close parentheses close square brackets minus space space space space space space space space space space space space space open square brackets straight p open parentheses negative straight a space secθ space minus space straight b space tanθ close parentheses space minus space straight a open parentheses negative straight p space secθ space minus space straight q space tanθ close parentheses close square brackets space space space space space space space space space space space space space after space solving comma space we space get space space space space space space space space space equals left parenthesis aq space minus space bp right parenthesis squared left parenthesis sec squared straight theta space minus space tan squared straight theta right parenthesis space space space space space space space space space equals left parenthesis aq space minus space bp right parenthesis squared space space space space space space space space.... since comma space sec squared straight theta space minus space tan squared straight theta space equals space 1 space space space space space space space space space equals straight R. straight H. straight S Hence comma space proved. end style
Answered by Yasmeen Khan | 17 Aug, 2018, 11:31: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
ICSE 10 - Maths
find AP whose 6 th term = 5 and 10 th term=9
Asked by ag1106511 | 17 Jul, 2024, 00:41: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
sum of 10 tems of ap is 35 and sum of 9 terms of ap is 28. find the 10th term of an ap.
Asked by astonfern123 | 14 Jul, 2024, 20:01: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
the speed of an aeroplane by 40 km per hour it takes Minutes more to cover 1200km find speed of the aeroplane
Asked by anjumnahida176 | 23 Jun, 2024, 15:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
hhg
question image
Asked by rajibjena122 | 19 Jun, 2024, 20:28: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
9 years ago grandfathers age was 9 times the grandsons age at that time after 15 years age will be ET rice as the grandsons age find their present age
Asked by rupalipatange0 | 13 Jun, 2024, 20:36: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
let c be the path leading from the origin to the point (1,1,1) show that integral over c [2xydx+(x²+2yz)dy+(y²+1)dz]=3
Asked by tanushreetanu46t | 12 Jun, 2024, 22:59: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
show that integral over c [y²dx+2xy dy] is independent of the path joining 0,1 and 1,3 and hence evaluate
Asked by varucreations16 | 12 Jun, 2024, 22:45: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
evaluate integral over c (2x+y)ds where c is the circle x²+y²=25 on the xy plane from the points 3,4 to 4,3
Asked by varucreations16 | 09 Jun, 2024, 15:02: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
If two coins are tossed, what is the probability of getting(1) 2 heads (2) no heads (3) at least 1 head
Asked by rakesh_shukla2006 | 06 Jun, 2024, 12:55: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
(a²+c²),(ab+cd) and (b²+d²) and in continued proportion, prove that a,b,c,d are in the proportuon
Asked by raghutangi04 | 30 May, 2024, 19:20: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Are You a Teacher or a Parent Seeking Customised Tests? Click here
×