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Recent questions in Coordinate Geometry
Questions
>>
JEEMAIN and NEET
>>
Mathematics
>>
Class11
>>
Coordinate Geometry
Find the length of lactus Rectum for the parabola $y^2=4ax$?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q59
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the area of triangle by tangents at the point $P(at_1^2,2at_1)$ & $Q(at_2^2,2at_2)$ for the parabola $y^2=4ax$ .
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q58
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the point of intersection of tangents at any two points on the parabola $y^2=4ax$?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q57
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the point of intersection of normals at any two points on the parabola $y^2=4ax$
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q56
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the relation between $'t_1'$ meets the parabola again at $'t_2'$ for the parabola $y^2=4ax$?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q55
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Show that normal to the parabola $y^2=4x$ at the point (1,2) meet it again at some point of parabola, find the point?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q54
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the conditions for a co-normal point (h,k) of a parabola $y^2=4ax$
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q53
medium
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the equation of common tangent to the parabola $y^2=4x$ and $x^2=4y$?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q52
medium
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the area of $\Delta ABC$ where AC is focal chord of the parabola $y^2=4ax$ & B is the vertex of parabola $y^2=4ax$?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q51
medium
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the equation of straight line touching both $x^2+y^2=2$ and $y^2=8x$.
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q50
medium
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the value of $\lambda$ such that $\Delta =0$ for the equation $x^2+y^2-3x+2y+\lambda=0$
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q49
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the equation of normal for the parabola $y^2=4ax$ in parametric form
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q48
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the equation of tangent at $(x_1,y_1)$ for the parabola $y^2=4ax$?
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q47
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Equation of normal for the parabola $y^2=4ax$ at point $(x_1,y_1)$ is
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q46
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the coordinate of double ordinate of parabola $y^2=4ax$?
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q45
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the equation of parabola whose focus (-4,0) & vertex (0,0)?
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q44
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the tangent at the parametric coordinate of parabola $y^2=4ax$?
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q43
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the vertex of parabola $x^2+4x+4-y=0$
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q42
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the axis,vertex,focus & equation of directrix for the parabola $y^2=4ax$?
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q41
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
A straight line drawn perpendicular to the axis and terminated at both end of the curve is a _________________ of the parabola.
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q40
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
What is the conic represent $x^2+2x+y+1=0$
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q39
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
For the equation $ax^2+2hxy+by^2+2gx+2fy+c=0$ to be parabola what should be the conditions?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q38
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
e(ecentricity)=__________ for parabola.
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q37
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the equation of straight line which passes through the intersection of the lines $3x-4y+1=0$ and $5x+y-1=0$ and $(2,1)$?
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q36
difficult
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the area of rhombus formed by the lines $x\pm y\pm 1=0$?
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q35
difficult
asked
Feb 5, 2014
by
sreemathi.v
2
answers
Find the separate equations of the lines represented by the equation $x^2-6xy+8y^2=0$?
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q34
difficult
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the image of the point $(2,2)$ with respect to the line $x+y+2=0$.
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q33
medium
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the coordinates of foot of the perpendicular drawn from the point (2,3) to the line $x+y+1=0$.
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q32
difficult
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the orthocentre of $\Delta ABC$ whose vertices are $A(0,1),B(-1,0),C(1,0)$.
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q31
difficult
asked
Feb 5, 2014
by
sreemathi.v
1
answer
The extremities of the diagonal of a square are (1,1) & (-1,-1).Obtain two vertices and equation of diagonal.
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q30
difficult
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the equation of a straight line on which the perpendicular from the origin makes an angle of $45^{\large\circ}$ with x-axis and which forms a triangle of area 18 sq.units with the coordinate axes
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q29
difficult
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find acute as well as obtuse angular bisectors of the lines $x+3y+1=0$ & $2x+5y+2=0$.
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q28
difficult
asked
Feb 4, 2014
by
sreemathi.v
1
answer
A vertex of an equilateral triangle is (1,1) and the opposite side is $x+y+1=0$.Find the equations of other sides?
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q27
difficult
asked
Feb 4, 2014
by
sreemathi.v
1
answer
If p is the length of the perpendicular from the origin to the line $\large\frac{x}{a}+\frac{y}{6}$$=1$ then $\large\frac{1}{a^2}+\frac{1}{b^2}$=?
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q26
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find the joint equation of lines $x+y+1=0$ & $x+y-1=0$
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q25
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find a point such that it divides the line joining the points A(1,1) & B(3,3) in 2 : 3 ratio?
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q24
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
If $ax+y-1=0$ ,$x+ay=0,x+y+a=0$ are concurrent then the value of $a^3-1$ is
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q23
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
If the points (1,1) and (3,5) were to be on the opposite side of the line $3x-5y+a=0$.Find the value of a?
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q22
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
$A(1,2)$ & $B(7,6)$ are the two opposite points of straight line (i.e) these two points are on opposite side of a straight line then find a equation of straight line which is equidistant from these two points and also AB is perpendicular to the straight line.
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q21
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find the vertices of the square if one of its vertices is (1,1) and the square passes through origin?
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q20
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find the equation of line parallel to $3x-4y+2=0$ and at a distance 2 from it?
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q19
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find the equation of the line through (1,2) so that the segment of line intercepted between the axes is bisected at this point?
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q18
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
The vertices of a triangle are $A(10,4),B(-4,9)$ and $C(-2,-1)$.Find the equation of the altitude through A?
jeemain
math
class11
coordinate-geometry
straight-lines
slope-of-a-line
ch10
q17
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
The angle between two lines is $\large\frac{\pi}{4}$ and the slope of one of them is $\large\frac{1}{4}$ and other is $x$.Find the value of $x$.
jeemain
math
class11
coordinate-geometry
straight-lines
slope-of-a-line
ch10
q16
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find whether the point $A(1,2),B(3,6)$&$C(5,10)$ are collinear or not?
jeemain
math
class11
coordinate-geometry
straight-lines
slope-of-a-line
ch10
q15
medium
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find the distance between two points (5,6) & (10,12)?
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q14
easy
asked
Feb 4, 2014
by
sreemathi.v
1
answer
The image of the point (4,-3) with respect to the line $y=x$ is :
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q13
easy
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find the equations of the bisectors of the angles between the straight lines $3x-4y+6=0$ and $12x+5y-3=0$.
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q12
easy
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find the distance between the lines $3x-4y+2=0$ & $3x-4y+10=0$?
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q11
easy
asked
Feb 4, 2014
by
sreemathi.v
1
answer
Find the equation of line which is parallel to $3x-4y+10=0$.Also find such line through the point (2,2)?
jeemain
math
class11
coordinate-geometry
straight-lines
equations-of-a-line
ch10
q10
easy
asked
Feb 4, 2014
by
sreemathi.v
1
answer
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