Ask a Doubt

Request a call back

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

Home
JEE-MAIN
Ask a Doubt
View Answer

JEE Class main Answered

2.

question image

Asked by Premnerusu37 | 02 Aug, 2020, 07:32: AM

Expert Answer

If (sin^-1x)² - (cos^-1x)² = lambda pi² and the range of lambda is [a, b] then a+b=

open parentheses sin to the power of negative 1 end exponent x close parentheses squared minus open parentheses cos to the power of negative 1 end exponent x close parentheses squared equals lambda straight pi squared open parentheses sin to the power of negative 1 end exponent straight x plus cos to the power of negative 1 end exponent straight x close parentheses open parentheses sin to the power of negative 1 end exponent straight x minus cos to the power of negative 1 end exponent straight x close parentheses equals λπ squared straight pi over 2 open parentheses straight pi over 2 minus cos to the power of negative 1 end exponent straight x minus cos to the power of negative 1 end exponent straight x close parentheses equals λπ squared open parentheses straight pi over 2 minus 2 cos to the power of negative 1 end exponent straight x close parentheses equals 2 λπ Since space 0 less or equal than cos to the power of negative 1 end exponent straight x less or equal than straight pi rightwards double arrow 0 less or equal than 2 cos to the power of negative 1 end exponent straight x less or equal than 2 straight pi rightwards double arrow 0 greater or equal than negative 2 cos to the power of negative 1 end exponent straight x greater or equal than negative 2 straight pi rightwards double arrow straight pi over 2 greater or equal than straight pi over 2 minus 2 cos to the power of negative 1 end exponent straight x greater or equal than negative fraction numerator 3 straight pi over denominator 2 end fraction rightwards double arrow straight pi over 2 greater or equal than 2 λπ greater or equal than negative fraction numerator 3 straight pi over denominator 2 end fraction rightwards double arrow negative fraction numerator 3 straight pi over denominator 2 end fraction less or equal than 2 λπ less or equal than straight pi over 2 rightwards double arrow negative 3 over 4 less or equal than straight lambda less or equal than 1 fourth Range space of space open square brackets negative 3 over 4 comma 1 fourth close square brackets straight a plus straight b equals negative 3 over 4 plus 1 fourth equals fraction numerator negative 2 over denominator 4 end fraction equals negative 1 half

Answered by Renu Varma | 04 Aug, 2020, 12:49: PM

Practice Test

Answered Unanswered My Questions My Answers

JEE main - Maths

solve questions 19

question image

Asked by nehalhp04 | 27 May, 2024, 16:40: PM

ANSWERED BY EXPERT

JEE main - Maths

.

question image

Asked by sandipan.sarma6 | 14 Apr, 2024, 10:27: AM

ANSWERED BY EXPERT

JEE main - Maths

some

question image

Asked by pranavpatil7386 | 07 Feb, 2024, 20:54: PM

ANSWERED BY EXPERT

JEE main - Maths

if cot^-(-cot5x)=tan^-( cotx),0

question image

Asked by ajaysir635 | 26 Dec, 2023, 12:00: PM

ANSWERED BY EXPERT

JEE main - Maths

how to solve wpc value?

question image

Asked by akshravirash | 21 Dec, 2023, 23:07: PM

ANSWERED BY EXPERT

JEE main - Maths

cos x=-1/2,x lies in which quadrant

Asked by antarshekhawat18 | 25 May, 2022, 10:32: AM

ANSWERED BY EXPERT

JEE main - Maths

tan tita+sec tita -1/tan tita-sec tita+1

Asked by gopuradhika1128 | 28 Jul, 2021, 20:45: PM

ANSWERED BY EXPERT

JEE main - Maths

Valu sin 900

Asked by indukurinishita54 | 07 Jun, 2021, 19:16: PM

ANSWERED BY EXPERT

JEE main - Maths

plese solve it in detail with step by step explanation

question image

Asked by ashwinbalaaji30 | 18 May, 2021, 10:51: AM

ANSWERED BY EXPERT

JEE main - Maths

2.

question image

Asked by Premnerusu37 | 02 Aug, 2020, 07:32: AM

ANSWERED BY EXPERT

My Class Videos Tests Plans Ask a Doubt