Home
Class 12
MATHS
Match the following and mark the correct...

Match the following and mark the correct options

A

(II) (iii) (R)

B

(IV) (iv) (S)

C

(IV) (iii) (S)

D

(II) (iv) (R)

Text Solution

Verified by Experts

The correct Answer is:
D
Tangent is `(sqrt3,(1)/(2))` is
`sqrt3x+2y=4`
Since slope of tangent at `(sqrt3,(1)/(2))` is `-ve`, possible curves are (I) and (II) only (draw the diagram and verify).
Also, given equation of tangent cannot match with
`my=x^(2)x+a`.
So, comparing eq. (I) with `y=mx+asqrt(x^(2)+1)`, we get
`a=2` and `m=(-sqrt3)/(2)`.
Therefore, equation of curve is `(x^(2))/(4)+y=1`.
The corresponding point of contact is
`((-a^(2)m)/(sqrt(a^(2)m^(2)+1)),(1)/(sqrt(a^(2)m^(2)+1)))`
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    CENGAGE ENGLISH|Exercise NUMERICAL VALUE TYPE|14 Videos

  • HYPERBOLA

    CENGAGE ENGLISH|Exercise JEE MAIN|3 Videos

  • HYPERBOLA

    CENGAGE ENGLISH|Exercise COMOREHENSION TYPE|21 Videos

  • HIGHT AND DISTANCE

    CENGAGE ENGLISH|Exercise Archives|3 Videos

  • INDEFINITE INTEGRATION

    CENGAGE ENGLISH|Exercise Multiple Correct Answer Type|2 Videos

Similar Questions

Explore conceptually related problems

Match the followings and mark the correct option.

Match the following and mark the correct option : a -v , b- iv , c - ii , d - iii , e - i a -ii , b- iv , c - v , d - iii , e - i a -ii , b- i , c - v , d - iv , e - iii a -v , b- iii , c - ii , d - iv , e - i

Match the followings and mark the correct option {:("Column I", " ""Column II"),("Sternum",i."Synovial fluid"),("Glenoid Cavity",ii."Vertebrae"),("Freely movable joint",iii."Pectoral girdle"),("Cartilagenous joint",iv. "Flat bones"):}

Match the following and mark the correct option: {:(,"Column-I","Column-II"),((a),"Hyperthyroidism",(i)"Parthormone"),((b),"Hypocalcemic",(ii)"Cretinism"),((c),"Hypercalcemic",(ii)"Grave's disease"),((d),"Hypothyroidism",(iv)"Calcitonin"):}

Match the followings and mark the correct option {:("Column I", " ""Column II"),("Sternum",i."Synovial fluid"),("Glenoid Cavity",ii."Vertebrae"),("Freely movable joint",iii."Pectoral girdle"),("Cartilagenous joint",iv. "Flat bones"):}

Match the following and mark the correct option {:("Column I", " ""Column II"),("Fast muscle fibres",i."Myoglobin"),("Slow muscle fibres",ii."Lactic acid"),("Actin filament",iii."Contractile unit"),("Sarcomere",iv. "I-band"):}

Match the following and mark the correct option {:("Column I", " ""Column II"),("Fast muscle fibres",i."Myoglobin"),("Slow muscle fibres",ii."Lactic acid"),("Actin filament",iii."Contractile unit"),("Sarcomere",iv. "I-band"):}

Match the following and find the correct option

Match the following and find the correct option.

Match the following and select the correct option