A line passes through the point P(2, 3) and makes an angle of 30º with the positive direction of x-axis. It meets the lines represented by  at the points A and B such that PA . PB = a, the value of  is equal to:

A 70 mm long line AB has its end A 20 mm above H.P. and 30 mm in front of V.P. The front view of the line is pointing. What is the angle made by the line with HP and VP?(1 Point)90 degree with HP and 0 degreewith VP0 degree with HP and 90 degree with VP 90 degree with HP and 90 degree with VP0 degree with HP and 0 degree with VP

wo lines L1 and L2 has the equations 6y + 3x = 1 and 3y − 2x = 4 respectively. Calculate(a) the angle between L1 and L2(b) the distance between the point (2, 3) from the line L2(c) the distance between the point (1,1) from the line L1

A line passing through the point A(9,0) makes an angle of 30∘ with the positive direction of x-axis. If this line is rotated about A through an angle of 15∘ in the clockwise direction, then its equation in the new position is

Triangle PRQ is half of an equilateral triangle. If angle P  is 30°  is What is the value of cos 30° ?

The next term of the A.P. , and is [1]18−−√ 32−−√ 50−−√72−−√ 84−−√64−−√ 80−−√a) scalene b) equilateralc) isosceles d) right angled6. The points P(0, 6), Q(-5, 3) and R( 3,1) are the vertices of a triangle, which is [1]a) III quadrant b) II quadrantc) I quadrant d) IV quadrant7. The point which divides the line segment joining the points (7, -6) and (3, 4) in ratio 1 : 2 internally lies in the [1]a) 20o, 30o. b) 30o, 20o.c) 50o, 40o. d) 40o, 50o.8. In the given figures the measures of D and F are respectively [1]∠ ∠a) 120° b) 150°9. In figure, AB is a chord of a circle and AT is a tangent at A such that , measure of is : [1]∠BAT = 60o ∠ACBPage 2 of 22