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class 11th maths formulas

Two vertices of a triangle are ( 2, -6 ,4) , (4, -2, 3) and its centroid is (8/2 , -1 , 3) , find the third vertex.

If the point (x,y) is equidistant from the points (a+b,b-a) and (a-b,a+b),prove that bx=ay.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 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?

Find the ratio in which the sphere x

^{2}+ y^{2}+ z^{2}= 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

^{7}in ( ax^{2}+ 1/bx)^{11}and the coefficient of x^{-7 }in (ax - 1/bx^{2})^{11 }. if these coefficients are equal then find the relation between a and bIs there any trick to remember the sign conventions in each octant???????

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 distance between(-3,4,6) and its image in XY-plane.

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????

what is octant?

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)

what is the value of 3 root 3

and length of the diagonal. Explain with suitable diagram.

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 ADfind 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).

how to plot points in 3d plane

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

A cube of side 5 has one vertex at point (1, 0, -1), and the Three edges from this vertex are, respectively, parallel to the negative x and y axes and positive z - axis. Find the coordinates of the other vertices of the cube.The whole question is complete and is from the RD sharma booklet. So don't say that the information provided is incomplete._{1,}y_{1,}z_{1}) and (x_{2,}y_{2,}z_{2}). Hence find the distance betweeen the point p(1,-3,4) and (-4,1,2)Show that the plane ax + by + cz + d = 0 divides the line joining the points(x

_{1}, y_{1}, z_{1}) and (x_{2}, y_{2}, z_{2}) in the ratio- ax

_{1}+ by_{1}+ cz_{1}+ d / ax_{2}+ by_{2}+ cz_{2}+ d .Plzzzz answer to my question!!!!!!. I will give thumbs up surely!!!!!!!!!!.the vertices of triangle ABC are A(0,0) B(2,-1) C(9,2),find cosB

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 is the meaning of externally dividing a line segment?

pl answer asap

thank you

what do you mean by external and internal division?

(1, 0, -1), and the Three edges from this vertex are, respectively, parallel to the negativexandyaxes and positivez- axis. Find the coordinates of the other vertices of the cube.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.

In the figure above, what is the length of line segment AB?

$\left(\mathrm{A}\right)3\phantom{\rule{0ex}{0ex}}\left(\mathrm{B}\right)2\sqrt{3}\phantom{\rule{0ex}{0ex}}\left(\mathrm{C}\right)4\phantom{\rule{0ex}{0ex}}\left(\mathrm{D}\right)3\sqrt{3}\phantom{\rule{0ex}{0ex}}\left(\mathrm{E}\right)6$

In the above activity how do we know that the point lying in 3^{rd}and 8^{th}octant.Find the ratio in which the YZ-plane divides the line segment formed by joining the points (–2, 4, 7) and (3, –5, 8).

FIND THE DISTANCE OF THE CENTROID OF TRI (ABC) WHOSE VERTICES ARE A(a,0,0),B(0,b,0) C(0,0,c) FROM THE ORIGIN?

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

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

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)

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

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) cuts the plane 2x + y + z = 7.

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 PA

^{2}+PB^{2}=2K2 ,where A&B are the points (3,4,5) and (-1,3-7) respectivelyfind the distance between( -3,4,6 )and its image in xy plane...

if the origin is the centroid of ∆ PQR with vertices P( 2a, 2, 6 ) , Q ( -4 , 3b ,-10) and R ( 8, 14 ,2c), then find the value of a, b and c.