What Will Be The Coordinates Of The Point  when The Axes Are Rotated Through An Angle Of 300 in Clockwise Sense?

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Question

What will be the coordinates of the point  when the axes are rotated through an angle of 300 in clockwise sense?

Solution

Correct option is

Old New Pt. 

         

            

             

Solving we get

         

 

SIMILAR QUESTIONS

Q1

A(p, 0), B(4, 0), C(5, 6) and D(1, 4) are the vertices of a quadrilateral ABCD 

If two sides of the quadrilateral are equal; area of the quadrilateral is

Q2

(0, 0), A(1, 1), B(0, 3) are the vertices of a triangle OAB.divides OB in the ratio 1 : 2, Q is the mid-point of AP, R divides AB in the ratio 2 : 1

1:- If 

Q3

(0, 0), A(1, 1), B(0, 3) are the vertices of a triangle OAB.divides OB in the ratio 1 : 2, Q is the mid-point of AP, R divides AB in the ratio 2 : 1

area of ΔPQR : area of ΔOAB is

Q4

(0, 0), A(1, 1), B(0, 3) are the vertices of a triangle OAB.divides OB in the ratio 1 : 2, Q is the mid-point of AP, R divides AB in the ratio 2 : 1

If S is the mid-point of PR, then QS is equal to

Q5

a and b real numbers between 0 and 1 A(a, 1), B(1, b) andC(0, 0) are the vertices of triangle

1:- If the triangle ABC is equilateral, its area is equal to

Q6

If the triangle ABC in  isosceles with AC = BC and 5(AB)2 = 2(AC)2 then

Q7

The origin is shifted to(1, –2)then what are the coordinates be shifted if the point (3, –5) in the new position?

Q8

If the origin is shifted to (1, –2), the coordinates of A become (2, 3). What are the original coordinates of A?

Q9

Determiner as to what point the axes of the coordinates be shifted so as to remove the first degree terms from the equation

           (x, y) = 2x2 + 3y2 – 12x + 12+ 24 = 0

Q10

What will be the coordinates of the point in original position ifr its coordinates after rotation of axes through an angle 600  ?