NDA || Mathematics || Coordinate Geometry || Cartesian System Of Coordinate Geometry and Straight Lines || Quiz 2020

For what value of y, are the points P(1, 4), Q(3,y) and R(-3, 16) are collinear?

If G (-2, 1) is the centroid of a ∆ABC and two of its vertices are A(1, -6) and B(-5, 2) , find the third vertex of the triangle.

Show that the points A(-3,2), B(-5,-5), C(2,-3) and D(4,4) are the vertices of a rhombus. Find the area of this rhombus.

Consider the following statements :

1) For an equation of a line, x cos θ + y sin θ = p, in normal form, the length of the perpendicular from the point (α, β) to the line is |α cos θ + β sin θ + p|.

2) The length of the perpendicular from the point (α, β) to the line  is

Which of the above statements is/are correct?

Find the value of P for which the points A ( -1, 3, 2 ), B ( -4, 2, -2 ) and C ( 5, 5, P ) are collinear

Find the angle between the two lines whose direction cosines are , ,  and , ,

What is the angle between the straight lines (m² – mn) y = (mn + n²) x + n³ and (mn + m²) y = (mn – n²) x + m³, where

m > n?

If distance between lines 5x-12y+k = 0 and 10x-24y+10=0 is 1 unit, then k=

Find the area of quadrilateral ABCD whose vertices area A(3, -1), B(9, -5), C(14, 0) and D(9, 19)

Find the area of the triangle formed by the lines x + y = 6, x – 3y = 2 and 5x – 3y + 2 = 0.

Points A(7, 10), B(-2, 5) and C(3, -4) are the vertices of