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Questions asked by rvidyagovindarajan_1
Questions
870
questions
0
answers selected
If $\overrightarrow a,\overrightarrow b,\overrightarrow c$ are three coplanar vectors then, $[(2\overrightarrow a-\overrightarrow b)\:(2\overrightarrow b-\overrightarrow c)\:(2\overrightarrow c-\overrightarrow a)]=?$
jeemain
math
class12
ch10
vector-algebra
medium
vector-product
q107
asked
Jan 5, 2014
1
answer
The position vector of the vertices $A,B,C$ of a $\Delta\: ABC$ are $\hat i-\hat j-3\hat k,\:2\hat i+\hat j-2\hat k\:\:and\:\:-5\hat i+2\hat j-6\hat k$ respectively. The length of the bisector $AD$ of angle $A$ where $D$ is on the line $BC$ is ?
jeemain
math
class12
ch10
vector-algebra
easy
addition-of-vectors
q106
asked
Jan 5, 2014
1
answer
A line passes through the points with position vectors are $\hat i+\hat j-2\hat k$ and $\hat i-3\hat j+\hat k$. The position vector of a point on the line which is at a unit distance from the first point is ?
jeemain
math
class11
ch12
3d-geometry
distance-between-two-points
easy
q68
asked
Jan 5, 2014
1
answer
If $\overrightarrow a,\overrightarrow b,\overrightarrow c$ are position vectors of three non collinear points $A,B,C$ respectively, then the shortest distance of $A$ from $BC$ is ?
jeemain
math
class11
ch12
3d-geometry
distance-between-two-points
medium
q67
asked
Jan 5, 2014
1
answer
The distance of the point $(1,1,1) $ from the plane passing through the points $(2,1,1),\:(1,2,1)\:and\:(1,1,2)$ is ?
jeemain
math
class11
ch12
3d-geometry
distance-between-two-points
medium
q66
asked
Jan 5, 2014
1
answer
The line joining the points $6\overrightarrow a-4\overrightarrow b-5\overrightarrow c$ and $-4\overrightarrow c$ and the line joining the points $-\overrightarrow a-2\overrightarrow b-3\overrightarrow c$ and $\overrightarrow a+2\overrightarrow b-5\overrightarrow c$ Intersects at the point ?
jeemain
math
class12
ch11
3d-geometry
equations-of-lines
medium
q65
asked
Jan 5, 2014
1
answer
A unit vector coplanar with the vectors $\hat i-\hat j\:\;and\:\:\hat i+2\hat j$ and is $\perp$ to the first vector, $\hat i-\hat j$ is ?
jeemain
math
class12
ch10
vector-algebra
easy
addition-of-vectors
q105
asked
Jan 5, 2014
1
answer
If $\overrightarrow {OA}=\hat i+3\hat j-2\hat k\:\:and\:\:\overrightarrow {OB}=3\hat i+\hat j-2\hat k$ and $C$ is a point of $AB$ so that $\overrightarrow {OC}$ bisects the angle $AOB$, then $\overrightarrow {OC}=?$
jeemain
math
class12
ch10
vector-algebra
easy
addition-of-vectors
q104
asked
Jan 5, 2014
1
answer
The equation of the plane having intercepts of $3$ and $4$ with $x$ and $z$ axes respectively and parallel to $y$ axis is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
easy
q64
asked
Jan 4, 2014
1
answer
If the lines $x=1+s,\:y=-3-\lambda s,\:z=1+\lambda s$ and $x=t/2,\:y=1+t,\:z=2-t$ with parameters $s\:and\:t$ respectively, are coplanar, then $\lambda=?$
jeemain
math
class12
ch11
3d-geometry
coplanar-lines
difficult
q63
asked
Jan 4, 2014
1
answer
The equation of the plane containing the lines $\overrightarrow r=\overrightarrow a_1+\lambda\overrightarrow b\:\:and\:\:\overrightarrow r=\overrightarrow a_2+\mu\overrightarrow b$ is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
medium
q62
asked
Jan 4, 2014
1
answer
The equation of the plane that contains the line $\overrightarrow r=2\hat i+\lambda(\hat j-\hat k)$ and $\perp$ to the plane $\overrightarrow r.(\hat i+\hat k)=3$ is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
medium
q61
asked
Jan 4, 2014
1
answer
The equation of the plane through the point $(1,2,-1)$ and $\perp$ to the line of intersection of the planes $\overrightarrow r.(3\hat i-\hat j+\hat k)=1$ and $\overrightarrow r.(\hat i+4\hat j-2\hat k)=2$ is?
jeemain
math
class12
ch11
3d-geometry
medium
intersection-of-lines-and-planes
q60
asked
Jan 4, 2014
1
answer
If the position vector of the points $A\:and\:B$ are $\hat i-\hat j+3\hat k$ and $3\hat i+3\hat j+3\hat k$ and the equation of a plane is $\overrightarrow r.(5\hat i+2\hat j-7\hat k)+9=0$, then the points $A\:and\:B$ are?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
easy
q59
asked
Jan 4, 2014
1
answer
The equation of the plane through origin and the line of intersection of the planes $\overrightarrow r.\overrightarrow a=\lambda\:\:and\:\:\overrightarrow r.\overrightarrow b=\mu$ is ?
jeemain
math
class12
ch11
3d-geometry
intersection-of-lines-and-planes
easy
q58
asked
Jan 3, 2014
1
answer
If $O$ is origin, $|\overrightarrow{OP}|=3$ with $d.r.=(-1,2,-2)$ then the coordinate of $P$ is ?
jeemain
math
class11
ch12
3d-geometry
coordinate-axes-and-planes
easy
q57
asked
Jan 3, 2014
2
answers
If $P(x,y,z)$ is a point on the line segment joining $Q(2,2,4)\:\:and\:\:R(3,5,6)$ such that the projections of $\overrightarrow {OP}$ on the coordinate axes are $\large\frac{13}{5},\frac{19}{5},\frac{26}{5}$ respectively, then $P$ divides $QR$ in the ratio ?
jeemain
math
class11
ch12
3d-geometry
coordinate-axes-and-planes
medium
q56
asked
Jan 3, 2014
1
answer
If $P$ is a point in space such that $OP=12$ and $\overrightarrow {OP} $ is inclined with angle $45^{\circ} $ with $OX$ and $60^{\circ}$ with $OY$ then the coordinates of $P$ is ?
jeemain
math
class11
ch12
3d-geometry
coordinates-of-a-point-in-space
easy
q55
asked
Jan 3, 2014
1
answer
If $P(3,2,-4),\:Q(5,4,-6)\:and\:R(9,8,-10)$ are collinear,then $R$ divides $PQ$ in ratio?
jeemain
math
class11
ch12
3d-geometry
section-formula
easy
q54
asked
Jan 3, 2014
1
answer
The length of $\perp$ from origin to the plane passing through the point $\overrightarrow a$ and containing the line $\overrightarrow r=\overrightarrow b+\lambda \overrightarrow c$ is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-lines
medium
q53
asked
Jan 3, 2014
1
answer
The equation of the plane through the line of intersection of the planes $ax+by+cz=d=0$ and $a'x+b'y+c'z+d'=0$ and parallel to the line $y=0,z=0$ is ?
jeemain
math
class12
ch11
3d-geometry
intersection-of-lines-and-planes
medium
q52
asked
Jan 3, 2014
1
answer
The line through the point $\hat i+3\hat j+2\hat k$ and $\perp$ to the lines $\overrightarrow r=(\hat i+2\hat j-\hat k)+\lambda(2\hat i+\hat j+\hat k)$ and $\overrightarrow r=(2\hat i+6\hat j+\hat k)+\mu (\hat i+2\hat j+3\hat k)$ is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-lines
easy
q51
asked
Jan 3, 2014
1
answer
The distance of the point $(-1,2,6)$ from the line through the point $(2,3,-4)$ along the vector $6\hat i+3\hat j-4\hat k$ is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-lines
easy
q50
asked
Jan 3, 2014
1
answer
The lines $\overrightarrow r=\overrightarrow a_1+\lambda\overrightarrow b_1$ and $\overrightarrow r=\overrightarrow a_2+\alpha \overrightarrow b_2$ are coplanar if ?
jeemain
math
class12
ch11
3d-geometry
coplanar-lines
medium
q49
asked
Jan 3, 2014
1
answer
If the plane $\large\frac{x}{2}+\frac{y}{3}+\frac{z}{4}=1$ cuts the coordinate axis in $A,B,C$ respectively, then the area of the $\Delta\:ABC$ is ?
jeemain
math
class12
ch11
3d-geometry
intersection-of-lines-and-planes
medium
q48
asked
Jan 2, 2014
1
answer
The image of the point $P(1,3,4)$ in the plane $2x-y+z+3=0$ is ?
jeemain
math
class12
ch11
3d-geometry
intersection-of-lines-and-planes
medium
q47
asked
Jan 2, 2014
1
answer
If $L\rightarrow\:\:\large\frac{x-1}{3}=\frac{y+1}{2}=\frac{z-3}{-1}$ and the plane $P\rightarrow\:\:x-2y-z=0$, then which of the following is true?
jeemain
math
class12
ch11
3d-geometry
intersection-of-lines-and-planes
easy
q46
asked
Jan 2, 2014
1
answer
The coordinates of the point on the line through $(3,-4,-5)$ and $(2,-3,1)$ at which the line crosses the plane $2x+y+z=5$ is ?
jeemain
math
class12
ch11
3d-geometry
intersection-of-lines-and-planes
medium
q45
asked
Jan 2, 2014
1
answer
The distance of the point $(-1,-5,-10)$ from the point of intersection of the line $\overrightarrow r=(2\hat i-\hat j+2\hat k)+\lambda(3\hat i+4\hat j+12\hat k)$ and the plane $\overrightarrow r.(\hat i-\hat j+\hat k)=5$ is ?
jeemain
math
class12
ch11
3d-geometry
intersection-of-lines-and-planes
medium
q44
asked
Jan 2, 2014
1
answer
If from the point $P(a,b,c)$ perpendiculars $PA$ and $PB$ are drawn to $yz$ and $zx$ planes respectively then the vector equation of the plane $OAB$ is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
easy
q43
asked
Jan 2, 2014
1
answer
The equation of the plane whose foot of $\perp$ drawn from origin is $(1,2,1)$. is?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
medium
q42
asked
Jan 1, 2014
1
answer
The equation of the plane that meets the coordinated axis at the points $A,B,C$ respectively so that the centroid of the $\Delta ABC$ is $(\alpha,\beta,\gamma)$ is ?
jeemain
math
class12
ch11
3d-geometry
intersection-of-lines-and-planes
medium
q41
asked
Jan 1, 2014
1
answer
The direction ratio of the line $3x+1=6y-2,\:z=1$ is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-lines
medium
q40
asked
Jan 1, 2014
1
answer
The point on the line $\overrightarrow r=(-2\hat i-\hat j+3\hat k)+\lambda(3\hat i+2\hat j+2\hat k)$ which is at a distance of $3\sqrt 2$ units from the point $(1,2,3)$ is ?
jeemain
math
class11
ch12
3d-geometry
distance-between-two-points
medium
q39
asked
Jan 1, 2014
1
answer
The equation of a line that are equally inclined with the coordinate axis and and which passes through $(-1,2,3)$ is?
jeemain
math
class12
ch11
3d-geometry
equations-of-lines
easy
q38
asked
Jan 1, 2014
1
answer
The angle between the lines whose $d.c.$ are given by the equations $3l+m+5n=0$ and $6mn-2nl+5lm=0$ is?
jeemain
math
class12
ch11
3d-geometry
equations-of-lines
difficult
q37
asked
Jan 1, 2014
1
answer
The equation of the line through the point $(1,2,3)$ and $\perp$ to the plane $\overrightarrow r.(\hat i+2\hat j-5\hat k)+9=0$ is ?
jeemain
math
class12
ch11
3d-geometry
intersection-of-lines-and-planes
medium
q36
asked
Dec 31, 2013
1
answer
The equation of the line through the point $(1,1,3)$ and parallel to the planes $\overrightarrow r.(\hat i-\hat j+2\hat k)=5$ and $\overrightarrow r.(3\hat i+\hat j+\hat k)=6$ is ?
jeemain
math
class12
ch11
3d-geometry
intersection-of-lines-and-planes
medium
q35
asked
Dec 31, 2013
1
answer
The line $\large\frac{x-2}{3}=\frac{y-3}{4}=\frac{z-4}{5}$ is parallel to the which of the following?
jeemain
math
class12
ch11
3d-geometry
intersection-of-lines-and-planes
easy
q34
asked
Dec 31, 2013
1
answer
If a line makes angle $\alpha,\:\beta,\:\gamma$ with $x-axis,\:y-axis\:and\:\:z-axis$ respectively, then $sin^2\alpha+sin^2\beta+sin^2\gamma=?$
math
class12
ch11
3d-geometry
equations-of-lines
easy
q33
jeemain
asked
Dec 31, 2013
1
answer
The angle between the planes $3x+4y+5z=3$ and $4x-3y+5z=2$ is ?
jeemain
math
class12
ch14
3d-geometry
equations-of-planes
easy
q32
asked
Dec 31, 2013
1
answer
The angle between the lines $\large\frac{2-x}{1}=\frac{y}{2}=\frac{z+3}{1}\:\:and\:\:\large\frac{x-4}{4}=\frac{y-1}{1}=\frac{z-5}{2}$ is?
jeemain
math
class12
ch11
3d-geometry
equations-of-lines
easy
q31
asked
Dec 31, 2013
1
answer
If the planes $x=cy+bz,\:\:y=az+cx,\:z=bx+ay$ pass through a line then $a^2+b^2+c^2+2abc=?$
jeemain
math
class12
ch14
3d-geometry
difficult
q30$
asked
Dec 31, 2013
1
answer
The point on $x - axis $ which is equidistant from points $(4,3,1)\:\: and\:\: (-2,-6,-2)$ is?
jeemain
math
class11
ch14
3d-geometry
easy
q29
asked
Dec 30, 2013
0
answers
If position vector of the points $A,B,C,D$ are given by $7\hat i-4\hat j+7\hat k,\:\hat i-6\hat j+10\hat k,\:-\hat i-3\hat j+4\hat k\:\:and\:\:5\hat i-\hat j+5\hat k$ respectively, then $ABCD$ is ?
jeemain
math
class12
ch10
vector-algebra
easy
addition-of-vectors
q103
asked
Dec 30, 2013
1
answer
The length of median through $A$ of the $\Delta\:ABC$ where $\overrightarrow {AB}=3\hat i+4\hat k\:\:and\:\:\overrightarrow {AC}=5\hat i-2\hat j+4\hat k$ is ?
jeemain
math
class12
ch10
vector-algebra
easy
q102
addition-of-vectors
scalar -product
mock
asked
Dec 30, 2013
1
answer
The shortest distance between the lines $\large\frac{x-6}{1}=\frac{2-y}{2}=\frac{z-2}{2}$ and $\large\frac{x+4}{3}=\frac{y}{-2}=\frac{1-z}{2}$ is?
jeemain
math
class12
ch11
3d-geometry
intersection-of-lines-and-planes
medium
q28
asked
Dec 29, 2013
1
answer
The vector $\overrightarrow a=\alpha\hat i+2\hat j+\beta\hat k$ lies in the plane of the vectors $\overrightarrow b=\hat i+\hat j$ and $\overrightarrow c=\hat j+\hat k$ and bisects the angle between $\overrightarrow b\:\:and\:\:\overrightarrow c$, then $(\alpha,\beta)=?$
jeemain
math
class12
ch10
vector-algebra
difficult
addition-of-vectors
q101
asked
Dec 29, 2013
1
answer
If the equation of the plane containing the line $\large\frac{x-x_1}{l}=\frac{y-y_1}{m}=\frac{z-z_1}{n}$ is $a(x-x_1)+b(y-y_1)+c(z-z_1)=0$, then ?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
easy
q27
asked
Dec 29, 2013
1
answer
The direction ratio of the normal to the plane through $(1,0,0),(0,1,0)$, which makes $\large\frac{\pi}{4} $ with the plane $x+y=3$ is ?
jeemain
math
class12
ch11
3d-geometry
direction-cosines
easy
q26
asked
Dec 28, 2013
1
answer
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