A movie screen on a wall is 20 feet high and 10 feet above the floor. If a man has to position himself at distance `x` from the screen to have a maximum angle of view `theta` , then `x=(10)/(sqrt(3))fe e t` (b) `theta=60^0` `x=10sqrt(3)` (d) `theta=30^0`

Let the equation of a curve be x=a(theta+sin theta),y=a(1-cos theta) . If theta changes at a constant rate k then the rate of change of the slope of the tangent to the curve at theta=pi/3 is (a) (2k)/sqrt3 (b) k/sqrt3 (c) k (d) none of these

The distance of the point (1,-5,""9) from the plane x-y+z=5 measured along the line x=y=z is : (1) 3sqrt(10) (2) 10sqrt(3) (3) (10)/(sqrt(3)) (4) (20)/3

A ball is projected at t = 0 with velocity v_0 at angle theta with horizontal. It strikes a smooth wall at a distance from it and then falls at a distance d from the wall. Coefficient of restitution is 'e' then :

Solve the equation for 0 le x le 2pi. tan theta + sqrt3 =0

The distance of the point (1, 2, 3) from the plane x+y-z=5 measured along the straight line x=y=z is 5sqrt(3) (2) 10sqrt(3) (3) 3sqrt(10) 3sqrt(5) (5) 2sqrt(5)

A is a point on either of two lines y+sqrt(3)|x|=2 at a distance of 4sqrt(3) units from their point of intersection. The coordinates of the foot of perpendicular from A on the bisector of the angle between them are (a) (-2/(sqrt(3)),2) (b) (0,0) (c) (2/(sqrt(3)),2) (d) (0,4)

Find the least and greatest values of the distance of the point (costheta,sintheta),theta in R , from the line 3x-4y+10=0.

Find the least and greatest values of the distance of the point (costheta,sintheta),theta in R , from the line 3x-4y+10=0.

If at each point of the curve y=x^3-a x^2+x+1, the tangent is inclined at an acute angle with the positive direction of the x-axis, then (a) a >0 (b) a<-sqrt(3) (c) -sqrt(3)< a< sqrt(3) (d) non eoft h e s e

If at each point of the curve y=x^3-a x^2+x+1, the tangent is inclined at an acute angle with the positive direction of the x-axis, then (a) a >0 (b) a<-sqrt(3) (c) -sqrt(3)<=a<= sqrt(3) (d) non eoft h e s e