Vertices of an isosceles triangle

Vertices of a right-angled triangle

JEE Questions for Maths Rectangular Cartesian Coordinates Quiz 7

If the three points (0,, (0,–and (x,are vertices of an equilateral triangle, then the values of x are

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2)
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Maths-Rectangular Cartesian Coordinates-46793.png

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Vertices of an equilateral triangle
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Vertices of an isosceles triangle
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Vertices of a right-angled triangle
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Collinear

The points (–a, –b), (0,,(a,b) and (a² , ab) are

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Collinear
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Vertices of a rectangle
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Vertices of a parallelogram
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None of these

Maths-Rectangular Cartesian Coordinates-46796.png

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Isosceles triangle
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Equilateral triangle
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Scalene triangle
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None of these

If vertices of a quadrilateral are A(0,, B(3,4), C(7,and D(4,then quadrilateral ABCD is

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Parallelogram
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Rectangle
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Square
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Rhombus

Circumcentre of the triangle formed by the line y = x, y = 2x and y = 3x + 4 is

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(6,8)
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(6, –8)
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(3,4)
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(–3, –4)

Three distinct points A,B and C are given in the 2-dimensional co-ordinate plane such that the ratio of the distance of any one of them from the point (1,to the distance from the point (–1,is equal to 1/3. Then the circumcentre of the triangle ABC is at the point

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(0,0)
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2)
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0%

The locus of the orthocentre of the triangle formed by the lines (1 + p)x - py + p (1 + p) = 0, (1 + q)x - qy + q (1 + q) = 0 and y = 0, where p ≠ q is

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A hyperbola
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A parabola
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An ellipse
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A straight line

The centroid of a triangle , whose vertices are (2,, (5, and (3, is

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2)
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The equations of the sides of a triangle are x + y – 5 = 0 ; x – y + 1= 0 and y – 1= 0, then the co-ordinates of the circumcentre are

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(2,1)
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(1,2)
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(2,–2)
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(1, –2)

Maths-Rectangular Cartesian Coordinates-46811.png

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2)
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0%

Maths-Rectangular Cartesian Coordinates-46817.png

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2)
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None of the above

The area of the triangle formed by the points (a,b + c), (b,c + a) , (c, a + b) is

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abc
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a2 + b2 + c2
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ab + bc + ca
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0

Maths-Rectangular Cartesian Coordinates-46823.png

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Similar
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congruent
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Never congruent
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None of these

Maths-Rectangular Cartesian Coordinates-46824.png

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2)
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Three points are A(6,, B(–3,5), C(4,–and P(x,y) is a point, then the ratio of area of ∆PBC and ∆ABC is

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2)
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None fo these

If A (6,, B(–3,5), C(4,–and D(x,3x) are four points. If the ratio of area of ΔDBC and ΔABC is 1 : 2, then the value of x, will be

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2)
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3
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None of these

Area of a triangle whose vertices are (a cos θ , b sin θ) , (– a sin θ , b cos θ) and (– a cos θ, – b sin θ) is

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a cos θ sin θ
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ab sin θ cos θ
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ab

Orthocentre of the triangle whose vertices are (0,(2,–and (1,is

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2)
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Maths-Rectangular Cartesian Coordinates-46844.png

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2)
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Two vertices of a triangle are (4,–and (–2,5). If the orthocentre of the triangle is at (1,2), then the third vertex is

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(–33, –26)
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(33,26)
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(26,33)
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None of these

If the points A(3,, B(7,, C(a,b) be collinear and AC = 10, then (a,b) =

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(11,10)
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(10,11)
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Maths-Rectangular Cartesian Coordinates-46854.png

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P lies on the line segment RQ
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Q lies on the line segment PR
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R lies on the line segment QP
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P, Q, R are non-collinear

Maths-Rectangular Cartesian Coordinates-46856.png

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2)
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None of these

The incentre of triangle formed by the lines x = 0, y = 0 and 3x + 4y = 12 is

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(1,1)
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0%

If a vertex of a triangle is (1,and the mid points of two sides through this vertex are (–1,and (3,2), then the centroid of the triangle is

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2)
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If the three points (3q,0), (0,3p) and (1,are collinear, then which one is true

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2)
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Without changing the direction of co-ordinate axes, origin is transferred to (h,k), so that the linear (one degree) terms in the equation x² + y² – 4x + 6y – 7 = 0 are eliminated. Then the point (h,k) is