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the number of integral points that lie exactly in the interior of the triangle with vertices (0,0),(0,21),(21,0) is
of an equilateral triangle with side 2a lies along they y-axis
such that the mid point of the base is at the origin. Find vertices
of the triangle.
A straight line through the origin O meets the parallel lines 4x+2y =9 and 2x+y+6=0 at points P and Q respectively, then point O divides the line segment pq in the ratio _
If x1, x2, x3 as well as y1, y2, y3 are in G.P. with same common ratio (not equal to 1) then the points (x1,y1) , (x2,y2), and (x3,y3).
a. lies on straight line
b. lie on an ellipse
c. lie on a circle
d. are the vertices of a triangle
Please explain briefly
in triABC side AB has the eqn 2x+3y=29 and sideAC has the eqnx+2y=16.if the midpt of BC is (5,6) then eqn of BC is
The diagonals of a parallelogram PQRS are along the lines x+3y=4 and 6x-2y=7. Then PQRS is aA) Rectangle B) Square C) Cyclic Quadrilateral D) RhombusThe answer is option 'D' but my doub't is why can't it be square.please explain it as fast as u can my exam is with in four days
Find number of straight lines passing through (2,4) and forming a triangle of 16 Sq. cm with Co ordinate axes
All the points lying inside the triangle formed by the points (1,3), (5,6) amd (-1,2) satisfy:
a)3x+2y_ 0 b) 2x+y+1_0 c) -2x+11_0 d)2x+3y-12_0
Suppose f (x, y)=0 is the equation of the circle such that f(x, 1)=0 has equal roots(each equal to 2) and f (1, x)=0 also has equal roots (each equal to 0). Find the equation of the circle. Thanks !
find the locus of a point which moves such that its distance from the origin is three times its distance from x-axis??
A man starts from the point P (-3,4) and will reach the point Q (0,1) touching the line 2x+y=7 at R. Find R on the line so that he will travel in the shortest distance.(ONURGENTBASIS)
A triangle has lines y=mx1 and y=mx2 as two of its sides where m1 and m2 are the roots of bx^2 + 2hx + a = 0. If P(a,b) is the orthocentre of the triangle then prove that the equation of its third side is (a+b)(ax+by) = ab(a+b-2h)
find the equations to the diagonals of the rectangle the equations of whose sides are x=a, x=a',y=b,y=b'.
thee distance of the point (2,3) from the lne 2x-3y+9=0 measured along a line x-y+1=0 is
one of the bisector of the angle between the lines a(x-1)²+2h(x-1)(y-2)+b(y-2)² =0 is
Q. Prove that the angle between the lines joining the origin to the points of intersection of the line y=3x+2 with the curve x2 +2xy+3y2 +4x+8y=11 is tan-1(2sqrt(2)/3).
find the area of triangle formed by the lines y^2-9xy+18x^2=0 and y=9
Find the equation of the st. line bisecting the segment joining the points (5,3) and (4,4) and making an angle of 45 with the x-axis
What is the image of the point (1, 3) in the line x+y-6=0? Thanks!
If the line y = (3)1/2x cuts the curve x3 + y2 +3x2 +9 =0 at the points A,B,C, then OA.OB.OC(Obeing origin) equals
In an isosceles triangle OAB, O is the origin and OA=OB=6. the equations of the side AB is x-y+1=0 Then the area of the triangle is_
Let L1 be a st line passing through the origin and L2 be the st line x+y=1. If the intercepts made by the circle xsquare + y square-x+3y=0 on L1 and L2 are equal, then which of the following equations can represent L1?
a)x+y=0 b) y-x=0 c)x+7y=0 d)x-7y=0
find the equation the of the line parallel to y-axis and drawn through the points of intersection of the lines x-7y+5=0 and 3x+y=0
the no. of lines that are parallel to 2x+6y-7=0 and have an intercept 10 between the coordinate axes is
frrom (1,4) you travel 5root2 units by making 135degree with positive x-axis(anticlockwise) and then 4 units by making 120degree with positive x-axis clockwise to reach Q.find coordinate of point Q
Pls solve this question and explain me clearly what is locus
If the equation of the lous of a point equidistant from the points (a1, b1) and (a2,b2) is (a1-a2)x+ (b1-b2)y+c=0 then find the value of c.
An equilateral triangle has a centroid at the origin and one side is x+y=1. The equation of the other sides are_______.
the perpendicular from origin to the line y=mx+c meets at the point (-1,2).find m and c?
The area of the quadrilateral formed by y =1 -x, y =2 -x and the coordinate axes is
A straight line L with negative slope passes through the point (8, 2) and cuts the positive coordinate axes at the points P and Q respectively.
When O is the origin, find the minimum value of OP + OQ, as L varies ?
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