class 11th maths formulas

the vertices of a triangle ABC are A (3,2,0), B(5,3,2) and C (-9,6,-3). the bisector AD of angle A meets BC at D. find the coordinates of D.

find the ratio in which the join of A (2,1,5) b(3,4,3) is divided by the plane 2x+2y-2z =1..also find coordinates of the pt. of division ?

Find the ratio in which the sphere x² + y² + z² = 504 divides the line joining the points (12, -4, 8) and (27, -9, 18). PLZZZZZZ GIVE THE ANSWER BY TODAY ITSELF!!!!!!!!!!!!!!!!. I will give thumbs up to those who will give me the answer!!!!!!!!!!!!!!!!.

 finding the locus of a midpoint of the portion of the line xcosA+ysinA=p which is intercepted between the axes

1) In triangle ADE, BC is parallel to DE. Ar of triangle ABC = 25 sq.cm, ar of trapezium BCED = 24 sq.cm and DE = 14 cm. Calculate the length of BC. (this I found to be 10 cm). Also find the area of triangle BCD. ( I am stuck here).

2) In a trapezium ABCD, AB is parallel to DC and diagonals AC and BD intersect at point P. If AP : CP = 3 : 5, find : a) triangle APB : triangle CPB (b) triangle DPC : triangle APB (c) triangle ADP : triangle APB (d) triangle APB : triangle ADB.

Find the equation of the ellipse which passes through the point, [4,1] and having its foci at [+-3,0].

Find the coordinates of the points which trisect the line segment joining the points P (4, 2, –6) and Q (10, –16, 6).
This is an exercise question(ex 12.3,Q-5)

couldn't we do the same problem like this:

if it is a trisect then first we can find the mid point of PQ,say R

And then wouldn't the midpoint of R&P,R&Q be the points required????

huh????

find the distance of the point P(-4,3,5) from the coordinate axes.

plz answer asap

Find the distance of the point (3,4,5) from x-axis.

 find the coorinates of the center of the circle inscribed in the triangle whose vertices are (-36,7)(20,7)(0,-8)

The vertices of a triangle are A(5,4,6) ,B(1,-1,3)&C(4,3,2). The internal bisector of angleA meetsBC at D. Find the coordinates of D and the length AD 

 find the equation of the locus of the point which moves such that the ratio of the distances from (2,0)and (1,3)is 5:4

Derive an expression for the coordinates of a point that divides the line joining the points A(x1,y1,z1) and B(x2,y2,z2) internally in the ratio m:n .Hence find the coordinates of the midpoint of AB where A=(1,2,3) and B=(5,6,7).

Find the equation of the set of points P,the sum of whose distances from A(4,0,0)and B(-4,0,0) is 10

Show that the plane ax + by + cz + d = 0 divides the line joining the points(x₁ , y₁, z₁) and (x₂, y₂, z₂) in the ratio

- ax₁+ by₁+ cz₁+ d / ax₂ + by₂ + cz₂ + d .

Plzzzz answer to my question!!!!!!. I will give thumbs up surely!!!!!!!!!!.

In a regular hexagon ABCDEF, prove that-

AB +AC + AD + AE + AF = 3AD = 6AO ; where O is the centre of the hexagon.

( AB, AC...AO- are all vectors)

what do you mean by external and internal division?

Find the coordinates of the point which divides the line segment joining the points (–2, 3, 5) and (1, –4, 6) in the ratio (i) 2:3 internally, (ii) 2:3 externally.

Find the ratio in which the YZ-plane divides the line segment formed by joining the points (–2, 4, 7) and (3, –5, 8).

what is the meaning of externally dividing a line segment?

pl answer asap

thank you

1. find the ratio in which the line segment joining the points (2,-1,3)and (-1,2,1) is divided by the plane x+y+z=5

Is there any trick to remember the sign conventions in each octant???????

find the points on z axis which is equidistance from poinnt A (1,5,7) and B (5,1,-4).

the vertices of triangle ABC are A(0,0) B(2,-1) C(9,2),find cosB

Determine the point in XY plane which is equidistant from the points
A (1, –1, 0) B(2, 1, 2) and C(3, 2, –1)

 what is the value of   3 root 3

Using section formula, prove that the points (-4,6,10) , (2,4,6) and (14,0,-2) are collinear.

Find the distance of the point (1,2,0) from the point where the line joining A(2,-3,1) and B(3,-4,5) into the plane 2x+y+z=7?

 Show that the sum of three vectors determined by the medians of a triangle directed from the vertices is zero.

Three vertices of a parallelogram ABCD are A (3, –1, 2), B (1, 2, –4) andC (–1, 1, 2). Find the coordinates of the fourth vertex.

find values of A and B so that the points (a,b,3), (2,0,-1), and (1,-1,3) are collinear

 find the equation of set of points P such that PA² +PB²=2K2 ,where A&B are the points (3,4,5) and (-1,3-7) respectively