A point $P$ lies on the $x-$axis and another point $Q$ lies on the $y-a$xis.Write the abscissa of point $Q.$
View full solution →Question types
Distance Formula question types
39 questions across 5 question groups — pick any mix to generate a MATHEMATICS paper with step-by-step answer keys.
39
Questions
5
Question groups
5
Question types
01
[1 Mark Question Answer]
2 Q→02[2 Mark Question Answer]
17 Q→03[3 marks sum]
11 Q→04[4 marks sum]
6 Q→05[5 marks sum]
3 Q→Sample Questions
Distance Formula questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
A point P lies on the $x-$axis and another point $ Q $ lies on the $ y-$axis.Write the ordinate of point $ P.$
View full solution →Find a point on the $y-$axis which is equidistant from the points $(5, 2)$ and $(-4, 3).$
View full solution →What point on the $x-$axis is equidistant from the points $(7, 6)$ and $(-3, 4)$?
View full solution →The distance between the points $(3, 1)$ and $(0, x)$ is $5.$ Find $x.$
View full solution →Calculate the distance between $A (5, -3)$ and $B$ on the $y-$axis whose ordinate is $9.$
View full solution →Calculate the distance between $A (7, 3)$ and $B$ on the $x-$axis whose abscissa is $11.$
View full solution →Find the coordinates of the points on the $y-$axis, which are at a distance of $10\ units$ from the point $(-8, 4).$
View full solution →Find the co$-$ordinates of points on the $x-$axis which are at a distance of $17\ units$ from the point $(11, -8).$
View full solution →The distances of point $P (x, y)$ from the points $A (1, - 3)$ and $B (- 2, 2)$ are in the ratio $2: 3.$Show that: $5x^2+ 5y^2- 34x + 70y + 58 = 0.$
View full solution →Point $P (2, -7)$ is the center of a circle with radius $13\ unit, PT$ is perpendicular to chord $AB$ and $T = (-2, -4);$ calculate the length of: $AT$
View full solution →The length of line $PQ$ is $10$ units and the co$-$ordinates of $P$ are $(2, -3);$ calculate the co-ordinates of point $Q$, if its abscissa is $10.$
View full solution →The points $A (3, 0), B (a, -2)$ and $C (4, -1)$ are the vertices of $\triangle ABC$ right angled at vertex $A$. Find the value of $a.$
View full solution →The vertices of a triangle are $(5, 1), (11, 1)$ and $(11, 9)$. Find the co$-$ordinates of the circumcentre of the triangle.
View full solution →Prove that the points $A (1, -3), B (-3, 0)$ and $C (4, 1)$ are the vertices of an isosceles right$-$angled triangle. Find the area of the triangle.
View full solution →A point $P (2, -1)$ is equidistant from the points $(a, 7)$ and $(-3, a)$. Find $a.$
View full solution →A point $A$ is at a distance of $\sqrt{10}$ unit from the point $(4, 3).$ Find the co$-$ordinates of point $A,$ if its ordinate is twice its abscissa.
View full solution →A point $P (2, -1)$ is equidistant from the points $(a, 7)$ and $(-3, a)$. Find $a.$
View full solution →A point $A$ is at a distance of $\sqrt{10}$ unit from the point $(4, 3)$. Find the co$-$ordinates of point $A$, if its ordinate is twice its abscissa.
View full solution →Find the point on $y-$axis whose distances from the points $A (6, 7)$ and $B (4, -3)$ are in the ratio $1: 2.$
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