Let (x, y) be such that sin^(-1)(ax)+cos...

Let (x, y) be such that `sin^(-1)(ax)+cos^(-1)(y)+cos^(-1)(bxy)=pi//2`. Match the statements in column I with statements in column II.
`{:("Column I", "Column II"), ("A) If a = 1 and b = 0, then (x, y)", "p) lies on the circle "x^(2)+y^(2)=1), ("B) If a = 1 and b = 1, then (x, y)", "q) lies on "(x^(2)-1)(y^(2)-1)=0), ("C) If a = 1 and b = 2, then (x, y)", "r) lies on y = x"), ("D) If a = 2 and b = 2, then (x, y)", "s) lies on "(4x^(2)-1)(y^(2)-1)=0):}`

Verified by Experts

The correct Answer is:

A-p;B-q;C-p;D-s

INVERSE TRIGNOMETRIC FUNCTIONS
AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - II) (LINKED COMPREHENSION TYPE QUESTIONS)|3 Videos
INVERSE TRIGNOMETRIC FUNCTIONS
AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - II) (INTEGER TYPE QUESTIONS)|2 Videos
INVERSE TRIGNOMETRIC FUNCTIONS
AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - II) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|4 Videos
HYPERBOLIC FUNCTIONS
AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Point P(x,y) satisfying the equation sin^(-1)x+cos^(-1)y+cos^(-1)(2xy)=(pi)/2 lies on

the bisector of the first and third quadrant

bisector of the second and fourth quadrant.

the rectangle formed by the lines `x=+-1` and `y=+-1`

a unit circle with centre at the origin.

the bisector of the first and third quadrant

bisector of the second and fourth quadrant.

the rectangle formed by the lines `x=pm1 and y=pm1`.

a unit circle with centre at the origin.

`x=pi/8+sqrt(1/2-pi^(2)/64)`

`y=sqrt(1/2-pi^(2)/64)-pi/12`

`x=pi/12+sqrt(1/2-pi^(2)/64)`

`y=sqrt(1/2-pi^(2)/64)-pi/8`