Home
Class 12
MATHS
Let PQRS be a quadrilateral in a plane ,...

Let PQRS be a quadrilateral in a plane , where QR = 1, `angle PQR = angle QRS =70^(@) , angle =15^(@) and angle PRS = 40^(@)` . If `angle RPS = theta^(@),PQ = alpha and PS = beta ` , then the interval (s) that contain (s) the value of `4 alpha beta sin theta^(@)` is/are .

A

`(0,sqrt(2))`

B

`(1,2)`

C

`(sqrt(2),3)`

D

`(2,sqrt(2),3sqrt(2))`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • JEE ADVANCED 2022

    JEE ADVANCED PREVIOUS YEAR|Exercise Mathematics (SECTION 3)|4 Videos

  • JEE ADVANCED 2022

    JEE ADVANCED PREVIOUS YEAR|Exercise MATHEMATICS (SECTION -1)|8 Videos

  • JEE ADVANCED 2022

    JEE ADVANCED PREVIOUS YEAR|Exercise MATHEMATICS (SECTION -3)|4 Videos

  • JEE ADVANCED 2021

    JEE ADVANCED PREVIOUS YEAR|Exercise QUESTION|38 Videos

  • JEE ADVANCED 2023

    JEE ADVANCED PREVIOUS YEAR|Exercise Question|31 Videos

Similar Questions

Explore conceptually related problems

In Delta PQR it is given that = (PQ)/(PR) = (QS)/(SR) . If angle Q = 70^(@) and angle R = 50^(@) then angle QPS = ?

In Delta PQR, s is a point in QR such that angle PQS= angle SPR show that angle PSR= angle QPR

Knowledge Check

  • In the given figure , PQRS is a quadrilateral, PR and QS intersect at O. If angle PQR = 70^(@), angle SPQ = 80^(@), and angle PRQ = 60^(@) , then find angle SPR

    A
    `30^(@)`
    B
    `50^(@)`
    C
    `40^(@)`
    D
    `45^(@)`

  • PQRS is a kite. angle P = 70^(@), angle S = 90.5^(@), angle R equals

    A
    `99^(@)`
    B
    `91^(@)`
    C
    `111^(@)`
    D
    `109^(@)`

  • In Delta PQR, Q is a right angle, PQ = 3 and QR = 4. If angle P = alpha and R = beta , then tan beta is equal to

    A
    `(4)/(3)`
    B
    `(3)/(4)`
    C
    `(3)/(5)`
    D
    `(5)/(3)`

    • Similar Questions

    Explore conceptually related problems

    Let PQRS be a rectangle such PQ = sqrt33 QR. What is angle PRS equal to ?

    In rhombus PQRS, PQ =6.5 and angle QPS=75^@ , then find QR and angle PQR .

    In right-angled triangle PQR, if angleP=60^(@), angle R=30^(@) and PR =12, then find the values of PQ and QR.

    In Delta PQR, Q is a right angle, PQ = 3 and QR = 4. If angle P = alpha and R = beta, then tan beta is equal to

    In triangle PQR, PQ = PR, QR is extended to S and angle PRS = 110^(@) . Then, anglePQR = .........

    Home
    Profile