Explore topic-wise InterviewSolutions in .

This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.

401.

यदि `theta` न्यून कोण हो और `(theta+18^(@))=1//2,` हो, तो चक्रीय माप से `theta` का मान कितना होगा ?A. `pi//12` RadiansB. `pi//15` RadiansC. `2pi//5` RadiansD. `3pi//13` Radians

Answer» Correct Answer - b
`sin(theta+1 8)=(1)/(2)`
`sin(theta+18)=sin 30`
`theta+18=30`
`therefore theta=12`
we know that
`180^(@)=pi`
`12^(@)=(pi)/(180)xx12=(pi)/(15)`
Discussion
402.

यदि `tan((pi)/(2)-(theta)/(2))=sqrt(3)` है तो का मान ज्ञात करे?

Answer» Correct Answer - c
`tan[(pi)/(2)-(theta)/(2)]=sqrt(3)`
`rArrtan[90-(theta)/(2)]=sqrt(3)`
`[pi=180^(@)]`
`rArr cot (theta)/(2)=30^(@)`
`rArr theta=60^(@)`
`rArrcos 60^(@)=(1)/(2)`
Discussion
403.

In circiar measure the value of the angle `11^(@)15` is(वृत्तीय माप में `11 ^(@) 15 ^(@)` कोण का मान क्या होगा )A. `(pi^(e))/(16)`B. `(pi^(e))/(8)`C. `(pi^(e))/(4)`D. `(pi^(e))/(12)`

Answer» Correct Answer - a
`11 ^(@)15^(@)=11+(15)/(60)=11+(1)/(4)=(45 ^(@))/(4)`
We know `pi` radian `=180^(@)`
`1 ^(@)=((pi)/(180))` radian
`(45^(@))/(4)=(pi)/(180^(@))xx(45^(@))/(4)=( pi^(@))/(1 6 )`
Discussion
404.

If `A=sin^(2)theta+cos^(4) theta` for any value of A is (यदि के किसी भी मान के लिए A `=A=sin^(2)theta+cos^(4) theta` का मान ज्ञात करे)A. `1 le A le 1`B. `(3)/(4) le A le 1`C. `(13)/(16) le A le 1`D. `(3)/(4) le A le (13)/(16)`

Answer» Correct Answer - b
According to question,
Discussion
405.

The simplified value of `(sec x+secy+tanx tany)^(2)-(sec x tany+tanyx secy)^(2)`A. `-1`B. 0C. `sec^(2)x`D. 1

Answer» Correct Answer - d
`(secx secy+tanxtany)^(2)`
`-(secx tany+tanx secy)^(2)`
`=sec^(2)x.sec^(2)y+tan^(2) x.tan^(2)y+2secx.secy.tanx.tany-sec^(2)x`
`tan^(2)y-tan^(3) x,sec^(2)y+2secx.tany.tanx.secy`
`=sec^(2)x[ s e c^(2)y-tan^(2)x]-tan^(2)x [sec^(2)y-tan^(2)y)`
` =(sec^(2)x-tan^(20x)(sec^(2)y-tan^(2)y)`
`=1xx1=1`
Discussion