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Syllabus

class 11th maths formulas

find the distance between 2 points in a 3 dimensional plane and hence find the distance between the points p(-2,3,5) and Q(1,2,3)

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

the distance of the point (3,6,8)from x-axis is_______ a) 3 b)6 c) 10 d)square root of 109

Four points A, B, C and D lie on a straight line in the X-Y plane, such that AB = BC = CD, and the length of AB is 1 metre. An ant at A wants to reach a sugar particle at D. But there are insect repellents kept at points B and C. The ant would not go within one metre of any insect repellent. The minimum distance in metres the ant must traverse to reach the sugar particle isFind 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

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

^{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 b1) 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 (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 coorinates of the center of the circle inscribed in the triangle whose vertices are (-36,7)(20,7)(0,-8)

and length of the diagonal. Explain with suitable diagram.

find the coordinates of the point which divides the line segments joining the points (1,-2,3)and (3,4,-5) in the ratio 2:3 (1) internally ,and (2) externally.

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).

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

75. Let Q be the foot of perpendicular from the origin to he plan 4x-3y+z+13=0 and R be a poin (-1,-,-6) on the plane, Then length QR is.

$\left(1\right)\sqrt{14}\left(2\right)\sqrt{\frac{19}{2}}\left(3\right)3\sqrt{\frac{7}{2}}\left(4\right)\frac{3}{\sqrt{2}}$ 75th question

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!!!!!!!!!!.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 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)

how to plot points in 3d plane

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.

Ans given in the book is

x^2+y^2/a^2- alpha^2 +z^2/a^2=1

My school teacher said that the constt should be taken 2a so as to match the answer. But i am not able to solve it . Please help me

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

what is the meaning of externally dividing a line segment?

pl answer asap

thank you

a point C with z coordinate 8 lies on the line segment joining the points A(2,-3,4) and B(8,0,10) find its coordinate?...plz its urgent can u solve it plzz

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

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

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

Q.In the figure above, what is the sum of the degree measures of all of the angles marked?(A) 540

(B) 720

(C) 900

(D) 1080

(E) 1440

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

Line segments OP, OA and OQ, in the figure above, coincide at the time t = 0 second. At the same instant of time, OP and OQ rotate in the plane about point O in opposite directions while OA remains fixed. With respect to OA, segment OP rotates at a constant rate of 4°per second and segment OQ rotates at a constant rate of 5° per second.

Q3. What is the smallest positive value of t, in seconds, for which segments OP and OQ will coincide?

Q4. When t = 1 hour, how many more revolutions does segment OQ complete than segment OP?

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 PA

^{2}+PB^{2}=2K2 ,where A&B are the points (3,4,5) and (-1,3-7) respectively