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class 11th maths formulas

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?

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

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

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

bisectors of the angles of an acute angled triangle ABCmeets BC, CA and AB at X, Y and Z respectively then:A) BX.CY.AZ = XC.AY.BZ

B) BX.AY.AZ = XC.CY.ZB

C) BX.ZB.AZ = XC.YA.CY

D) NONE OF THESE

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.

^{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 bFind 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????

and length of the diagonal. Explain with suitable diagram.

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

plz answer asap

A(1,-1,-3),B(2,1,-2)C(-5,2,-6) are the position vectors of the vertices of a triangle ABC. The length of the bisector of its internal angle at A is?

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

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

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

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 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(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!!!!!!!!!!.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

what do you mean by external and internal division?

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)

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.

what is the meaning of externally dividing a line segment?

pl answer asap

thank you

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

(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 equation of the locus of a point whose distance from y axis is equal to distane from (2,1,-1) ?ANSy2-2y-4x+2z+6=0find the points on z axis which is equidistance from poinnt A (1,5,7) and B (5,1,-4).

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)

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

the coordinate of points P,Q,R and S are (-3,5), (4,-2), (p,3p) (6,3), respectively, and the areas of triangle PQR and QRS are in ratio 2:3 .find the value of p.

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

what is the value of 3 root 3

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).

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

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 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 centroid of the triangle, the midpoint of whose sides are D(1,2,-3), E(3,0,1) and F(-1,1,4).

4. The three different face diagonals of a cuboid ( rectangular parallclopiped ) have lengths 39, 40, 41. The length of the main diagonal of the cuboid which joins a pair of opposite corners is

A. 49

B. 49$\sqrt{2}$

C. 60

D. 60$\sqrt{2}$

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

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

Find the lengths of the medians of the triangle with vertices A (0, 0, 6), B (0, 4, 0) and (6, 0, 0).