Popular Co Ordinate Geometry Questions

a good question for jee aspirants new to this forum...... *Image* suppose an insect (without wings) has to crawl from vertex A to vertex B of the cube of side a shown in the figure then find the minimum distance that the inse ...

1) A ray of light is coming along the line y = b from the positive direction of x axis and strikes a concave mirror whose intersection with xy plane is a parabola y2 = 4ax . If a and b are positive, then the equation of the r ...

If the straight lines x-1/k=y-2/2=z-3/3 and x-2/3=y-3/k=z-1/2 intersect at a point then k is equal to (a)5 (b)2 (c)-2 (d)-5 ...

let a,b,c,d represent coplanar vectors and sin(A)a + 2sin(2B)b + 3sin(3C)c - 4d = 0 then find the least value of sin(A)^2 +sin(2B)^2 + sin(3C)^2 is.... 1. 7/8 2. 8/7 3. 1 4. 2/3 ...

question below ... ...

the position vectors of point P nd Q re p and q respectively. if O is the origin and R is a point in the interior of angle POQ such that OR bisects the angle POQ then find the unit vector along OR ...

ABC is a right angeled isoceles triangle with B=90° .it slides in the X-Y plane with its vertex A on the Y axis and with the vertex C on the X axis and such that the origin and the vertex are at the opposite side of AC.f ...

wat is eq. of directrix , axis, length of latus rectum of 9x2 -24xy+16y2 -20x-16y-60=0 plz reply ...

find the length of the common chord of two circles: (x-a)2+(y-b)2=c2 and (x-b)2+(y-a)2 a) 4c2-2(a-b)2 b) 4b2-2(a-c)2 c) 2c2-2(a-b)2 d) 2c2-2(c-b)2 ...

C1=y2=4ax C2:the curve obtained by rotating the C1 120° in anti-clokwise direction C3: refllection of c2 wrt y=x S1 and s2 ,s3..are focus of the curves Q1.find the parametric eqn of C2 Q2.area of ΔOS2S3 Q3. AREA BOUNDED BY ...

pls solve *Image* ...

*Image* Plz. attempt que 2 and que 3 of the comprehension!!!! ...

There are n points in a plane such that the area of the tirangle formed by any three is less than 1. Find the "minimum" area in which all these n points are enclosed!!! This was asked to me in my ISI interview. *clarifi ...

find the maximum area of a rectangle whose two sides x=x0,x=Î -x0,which is inscribed in region bounded by y= sin x and x axis,is obtained when x0 belongds to a)(Î /4,Î /3) b()Î /6,Î /4) c)(0,Î /6) d)none ...

from an arbitrary point p on the circle x2+y2=9,tangents are drawn the circle x2+y2=1 andwhich meet the circle x2+y2=9 at A and B .locus of points of intersection of tangents from A and B. is (subjective type) ...

1) The line Ax+By+C=0 cuts the x-axis at P and y - axis at Q.Find the co-ordinates of the ortho-centre,centroid and circumcentre of the triangle OPQ ? 2)What is the nature of the locus repesented by the equation (x-y+c)2+(x+y ...

STRAIGHT LINES 1 ) Find the area of the triangle formed by the straight lines whose equations are x+2y-5=0; 2x+y-7=0 and x-y+1=0 withought determining the coordinates of the vertices of the triangle. Also compute the tangent ...

the inverse of point (1,2) wrt to circle x2+y2-4x -6y +9=0 is? (1,1/2) (0,1) (1,0)() (2,1) ...

Consider the points A≡(0,1) and B≡(2,0) .let P be a point on the line 4x+3y+9=0. coordinates of the point 'P' such that |PA-PB| is maximum, are ? ...

Find the range of values of λ for which the variable line 3x+4y - λ=0 lies between the circles: x2+y2 - 2x - 2y +1=0 x2+y2 - 18x - 2y +78 = 0 without intercepting a chord on either circle. ...

A quadrilateral has sides 2,3,9....diagonals are at rt.angles. Find all possible values of the 4th side.... ...

does the auxillary circle of ellipse is for specific ellipse or it can be the auxillary circle for more than one ellipse ...

stat1 : if eccentricities of two ellipses are same then their areas are also same. stat2 : (a2 - b2)/a2 = (a'2 - b'2)/a'2 ...

in a triangle the incircle touches the sides BC,CA&AB at D,E&F respectively.If the radius of the incircle is 4 units and BD,CE,&AF are in AP with common difference 1,the what is the area of the triangle ABC????plzzz explain.. ...

A circle with radius a and centre on y - axis slides along it and a variable line through (a,0) cuts the circle at points P and Q. What is the region in which the pt of intersection of tangents to the circle at points P and Q ...

sides BC,CA ,AB of ΔABC are divided by points P,Q,R in ratios BP/PC=λ,AR/RB=ν,CQ/QA=μ, than calculate area ΔPQR/area ΔABC ...

In the definition of conics the fixed pt doesn't lie on the directrix but what will be the geometric figures if the fixed pt lie on the directrix for different cases i.e. 1) e<1 2) e=0 c)e=1 d)e>1 ...

find locus of center of circle which touches (y-1)2+x2=1 externally and also touches X axis. if u're getting x2=4y and x=0,think again!!! ...

*Image* ...

hey anyone tell me how to rotate with some given angle if it is in all three direction like 2i+3j-8k plz give solution by taking example ...