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The points (-a,b),$(a^{2},ab),(a,b) and (0,0) are:

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

Two lines $l_{1}$ and $l_{2}$ with respective slopes $m_{1}$ and $m_{2}$ are parallel if:

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

Two lines $l_{1}$ and $l_{2}$ m with respective slopes $m_{1}$ and $m_{2}$ are perpendicular if:

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

Two parallel lines having equal angles of inclination $\theta_{1}=\theta_{2}$ then $m_{1}=$

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

If the line is parallel to the y-axis, then m is said to be:

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

The slope of the line from B(2,-3) through A(0,3) is:

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

The points A, B and C are said to be collinear if they _______

NETNUST Entry TestMathematicsIntroduction to Analytical Geometry

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