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Gradient m=

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

Slope or gradient (m) of a non vertical straight line with $\alpha$ as its inclination is defined by:

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

If $Y=y\cos\theta - x\sin \theta$, then y=

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

If $X=x\cos \theta +y\sin \theta$, then x=

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

If x-axis is rotated through an angle $\theta$, then after rotation x=

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

If x-axis is rotated through an angle $\theta$, then the x-coordinate (X), after rotation of the point P(x,y) according to new coordinate axis equals:

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

Axes remain parallel to the old axes, in:

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

In translation of axes, ______________ is shifted to another point in the plane

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

Shifting origin to (-4,-6) the new coordinates of (-6,-8) are:

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

The coordinate of the point P(5,3) after rotating the axes through an angle of $45^{\circ}$ are:

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

Shifting origin to (1,-2) the new coordinates of (4,5) are:

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

Shifting origin to (-3,2) the new coordinate of (-2,6) are:

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

Shifting origin to (-3,2) the new coordinates of (-6,9) are:

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

The coordinates of the point that divides the join of A(-6,3) and B(5,-2) internally in the ratio 2:3 is:

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

If a point p divide the line segment $\overline{AB}$ in ratio $K_{1}:K_{2}$ , such that $K_{1}:K_{2}=1:1$ then p becomes ______________ of $\overline{AB}$

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

The point C(-5,3) is the centre of a circle and P(7,2) lies on the circle, Then the radius of the circle is:

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

If points (5,5), (10,x) and (-5,1) are collinear, x=

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

The coordinates of mid points of sides of a triangle are (2,1), (-1,-3) and (4,5) then coordinates of its vertices are:

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

If the points (2,-3/2)(-3,7/2) and (x,-9/2) are collinear, then x=

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

If midpoints of the sides of a triangle are (1,-1), (-4,-3) and (-1,1), then coordinates of the vertices of the triangle are:

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

The coordinates of a point which trisects segment joining (0,0) and (9,12) are:

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

The two vertices of a triangle are (-2,4) and (5,4). If its centroid is (5,6) then third vertex is:

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

The in-centre of triangle whose vertices are (0,0), (5,12) and (16,12) is:

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

The distance of a point $(x\cos\theta, x\sin\theta)$ from origin is:

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

If A(1,4), B(3,0), C(2,1) are vertices of triangle ABC then the length of median through C is:

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry