Draw any angle with vertex O .Take a pont A on one of its arms and B on any another such that OA=OB.Draw the perpendicular bisectors of `barOA` and `bar OB`.Let them meet at P.Is PA=PB?

Draw a circle of radius 4 cm.Draw any two of its chords.Construct the perpendicular bisectors of these chords.Where do they meet?

A line is drawn from a point P(x, y) on the curve y = f(x), making an angle with the x-axis which is supplementary to the one made by the tangent to the curve at P(x, y). The line meets the x-axis at A. Another line perpendicular to it drawn from P(x, y) meeting the y-axis at B. If OA = OB, where O is the origin, the equation of all curves which pass through ( 1, 1) is

Draw the perpendicular bisector of bar XY whose length is 10.3 cm Take any point P on the bisector drawn.Examine whether PX=PY.

Let P(theta_1) and Q(theta_2) are the extremities of any focal chord of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 whose eccentricity is e. Let theta be the angle between its asymptotes. Tangents are drawn to the hyperbola at some arbitrary points R. These tangent meet the coordinate axes at the points A and B respectively. The rectangle OABC (O being the origin) is completedm, then Q.Locus of point C is

Let P(theta_1) and Q(theta_2) are the extremities of any focal chord of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 whose eccentricity is e. Let theta be the angle between its asymptotes. Tangents are drawn to the hyperbola at some arbitrary points R. These tangent meet the coordinate axes at the points A and B respectively. The rectangle OABC (O being the origin) is completedm, then Q. If cos^(2)((theta_1+theta_2)/(2))=lambdacos^(2)((theta_1-theta_2)/(2)) , then lambda is equal to

Here is a ray vec(OA) . It starts at O and passes through the point A. It also passes through the point B. Can you also name it as vec(OB) ? Why? vec(OA) and vec(OB) are same here. Can we write vec(OA) as vec(AO) ? Why or why not? Draw five rays and write appropriate names for them. , What do the arrows on each of these rays show?

Let A,B be the centres of two circles of equal radii,draw them so that each one of them passes through the centre of the other.Let them intersect at C and D.Examine therther bar AB and bar CD are at right angles.

Let two non-collinear vectors veca and vecb inclined at an angle (2pi)/(3) be such that |veca|=3 and vec|b|=2 . If a point P moves so that at any time t its position vector vec(OP) (where O is the origin) is given as vec(OP) = (t+1/t)veca+(t-1/t)vecb then least distance of P from the origin is

If A(-4, 0, 3) and B(14, 2, -5) , then which one of the following points lie on the bisector of the angle between vec(OA) and vec(OB) (O is the origin of reference) ? (A) (2,2,4) (B) (2,11,5) (C) (2,11,5) (D) (1,1,2)