Home
Class 12
MATHS
Let x^2+3y^2=3 be the equation of an ell...

Let `x^2+3y^2=3` be the equation of an ellipse in the `x-y` plane. `Aa n dB` are two points whose position vectors are `-sqrt(3) hat ia n d-sqrt(3) hat i+2 hat kdot` Then the position vector of a point `P` on the ellipse such that `/_A P B=pi//4` is a. `+- hat j` b. `+-( hat i+ hat j)` c. `+- hat i` d. none of these

Promotional Banner

Similar Questions

Explore conceptually related problems

A line passes through two points whose position vectors A(hat i+hat j-2hat k) and B(hat i-3hat j+hat k) .Then the position vector of a point on it at a unit distance from A and closet to B

Show that the points whose position vectors are 5hat i+5hat k,2hat i+hat j+3hat k and -4hat i+3hat j-hat k are collinear

A unit vector perpendicular to the plane passing through the points whose position vectors are hat i-hat j+2hat k,2hat i-hat k and 2hat i+hat k is

Show that the points whose position vectors are -2 hat i+3 hat j ,\ hat i+2 hat j+3 hat k\ a n d\ 7 hat i+9 hat k e collinear.

Find the distance between the points A and B with position vectors hat i-hat j and 2hat i+hat j+2hat k.

Show that the points whose position vectors are 5 hat i+5 hat k ,\ 2 hat i+ hat j+3 hat k\ a n d-4 hat i+3 hat j- hat k are collinear.

Find the vector and Cartesian equations of the line joining the points whose position vectors are (hat(i) -2hat(j) +hat(k)) " and " (hat(i) +3hat(j) -2hat(k))

Find the vector equation of a sphere with centre having the position vector hat(i)+hat(j)+hat(k) and sqrt(3).

Find the position vector of the mid-point of the vector joining the points P(2hat i-3hat j+4hat k) and Q(4hat i+hat j-2hat k)

Write a unit vector perpendicular to hat i+ hat j\ a n d\ hat j+ hat kdot