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JEE Questions for Maths Rectangular Cartesian Coordinates Quiz 6 - MCQExams.com
JEE
Maths
Rectangular Cartesian Coordinates
Quiz 6
If A and B are two fixed points and P is a variable point such that PA + PB = 4, then the locus of P is a/an
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Parabola
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Ellipse
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Hyperbola
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None of these
Explanation
It is a fundamental concept.
If A and B are two points in a plane, so that PA – PB = constant, then the locus of P is
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0%
Hyperbola
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Circle
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Parabola
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Ellipse
Explanation
It is a fundamental concept.
If A and B are two fixed points in a plane and P is another variable point such that PA
2
+ PB
2
= constant, then the locus of the point P is
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0%
Hyperbola
0%
Circle
0%
Parabola
0%
Ellipse
Explanation
It is a fundamental concept.
ABC is an isosceles triangle. If the co-ordinates of the base are B(1,and C(-2,7), the co-ordinates of vertex A can be
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(1,6)
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2)
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0%
None of these
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A.M. of CA and CB
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G.M. of CA and CB
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H.M. of CA and CB
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None of these
The point of trisection of the line joining the points (0,and (6,-are
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(2,and (4,-1)
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(2, -and (4,1)
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(3,and (4,-1)
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(2,and (4,-1)
The line y = x meets y = ke
x
for k ≤ 0 at
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No point
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One point
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Two points
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More than two points
Point Q is symmetric to P(4, - with respect to the bisector of the first quadrant. The length of PQ is
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0%
2)
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0%
A stick of length
l
rests against the floor and a wall of a room. If the stick begins to slide on the floor, then the locus of its middle point is
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0%
A straight line
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Circle
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Parabola
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Ellipse
If the vertices of a triangle have integral co-ordinates, then the triangle is
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Equilateral
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Never equilateral
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Isosceles
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None of these
The vertices of a rectangle ABCD are A(-1,0), B(2,0), C(a,b) and D(-1,4). Then the length of the diagonal AC is
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0%
2
0%
3
0%
4
0%
5
0%
6
If the point (x,y) be equidistant from the points (a + b,b – a) and (a – b,a + b), then
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ax + by = 0
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ax – by = 0
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bx + ay = 0
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bx – ay = 0
If the points (0,(2,2√are (a,b) be the vertices of an equilateral triangle, then (a,b) =
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(0, –4)
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(0,4)
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(4,0)
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(–4,0)
The distance between the points (a cos α, a sin α) and (a cos β , a sin β) is
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0%
2)
0%
0%
The point on y-axis equidistant from the point (3,and (–1,is
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(0,–3)
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2)
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0%
(0,3)
ABC is a triangle , G is the centroid. D is the mid point of BC. If A = (2,and G = (7,5), then the point D is
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0%
2)
0%
0%
The mid point of the line joining the points (-10,and (-6,divides the line joining the points (4,-and (-2,is the ratio
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1 : 2 internally
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1 : 2 externally
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2 : 1 internally
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2 : 1 externally
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2 : 3 externally
The point dividing the line through two points (–1,–and (3,in the ratio 3 : 5 internally lies on the line
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4( x + y ) = 3
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x + y = 3
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4x + 4y = 1
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None of these
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RS
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ST
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PQ
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QR
If the point dividing internally the line segment joining the points (a,b) and (5,in the ratio 2 : 1 be (4,6), then
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a = 1,b = 2
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a = 2,b = -4
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a = 2,b = 4
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a = -2,b = 4
If the middle point of the line segment joining the points (5,a) and (b,be (3,5), then (a,b) =
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(3,1)
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(1,3)
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(–2, –2)
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(–3, –1)
If C is a point on the line segment joining A(-3,and B(2,such that AC = 2 BC, then the co-ordinate of C is
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0%
2)
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(2,7)
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(7,2)
The mid-points of sides of a triangle are (2,1), (–1,–and (4,. Then the co-ordinates of its vertices are
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(7., (–3,–, (1,
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(–3,–, (1,, (2,3)
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(1,(2,, (–5 , 8)
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None of the above
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1 : 3 internally
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3 : 1 internally
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1 : 3 externally
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3 : 1 externally
The co-ordinates of the join of trisection of the points (–2,, (3,–nearer to (–2,3), is
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0%
2)
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0%
If the vertices of a triangle are A(1,4), B(3,and C(2,1), then the length of the median passing through C is
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1
0%
2
0%
0%
P and Q are points on the line joining A(-2 ,and B(3,such that AP = PQ = QB . Then the mid-point of PQ is
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0%
2)
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(2,3)
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(1,4)
The co-ordinates of the point dividing internally the lines joining the points (4,-and (8,in the ratio 7 : 5 will be
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(16, 18)
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(18,16)
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0%
(0,–and (0,are two opposite vertices of a square. The other two vertices are
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(0,, (0,–3)
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(3,–, (0,0)
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(2,1), (–2,1)
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(2,(1,1)
If the distance between (2,and (–5,is equal to the distance between (x,and (1,, then the values of x
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–6,8
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6,8
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–8,6
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–7,7
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–8,–6
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