CUET General Test Geometry > Miscellaneous PYQs

For what value of X are the points A (-3, 12), B (7, 6) and C (x, 9) collinear.

The point (x, y) is equidistant from the points (2, 4) and (1, 8). Find the relation between x and y.

If the distance of the point P (x, y) from A (0, a) is a + y, then $x^2$ equals to:

To locate the position of an object or a point in a plane, we require the following perpendicular lines.

If A is area of regular hexagon of side 2 cm, then value of 3A (in cm$^2$), is:

If Q(0, 1) is equidistant from P(5, -3) and R(x, 6), find the values of x.

The point of intersection of the axes is called:

If the point A (0, 2) is equidistant from the points B (3, p) and C (p, 5), the value of p is :

Find the relation between x and y such that the point (x, y) is equidistant from the points (2, 5) and (6, 8).

Match the LIST-I with LIST-II | LIST-I (Geometrical Function) | | LIST-II (Formula) | |---|---|---| | A. Area of a Triangle | I. | 2 (Length + Breadth) | | B. Perimeter of a Rectangle | II. | $\pi\times(\text{Radius})^2$ | | C. Area of a Parallelogram | III. | 1/2 ( Base × Height) | | D. Area of a Circle | IV. | Base × Height | Choose the correct answer from the options given below:

Find the relation between x and y such that the point (x,y) is equidistant from the points (7,1) and (3,5)?

Match List-I with List-II | List-I (Statements, etc.) | List-II (Values, etc.) | |---|---| | (A) Coordinates of origin | (I) (0, y) | | (B) Distance of a point from itself | (II) (x, 0) | | (C) Any point on the y axis | (III) (0, 0) | | (D) Any point on the x axis | (IV) 0 | Choose the correct answer from the options given below:

Find the coordinates of the midpoints of the line segment joining A (3, 0) and B (-5, 4).

The slope of the line joining points A(3, –2) and B (x, 4) is 2. What is the value of x?

Find a relation between x and y such that the points (x, y) is equidistant from points (7, 3) and (5, 2).

If A is area of regular hexagon of side 4 cm, then value of 4A (in cm$^2$) is:

The values of y for which the distance between the points P(10, y) and Q(2, 2) is 10 unit.

Find the coordinates of the point which divides the line segment joining the points (4,-1) and (-2,-3) in the ratio 2 : 3 internally.

Find the slope of the line perpendicular to the line passing through the points (3, 5) and (-4, 2).

The distance between points P(1, 2) and Q(-3, 6) is

What will be the equation of the line, which makes intercepts -5 on x-axis and -6 on the y-axis.

The relation between A and B such that the point (A, B) is equidistant from the points (1, 3) and (2, 5) is:

If abscissa of a point is 2 and the ordinate is 5, then the coordinates of the point located in xy plane is:

What is the value of x for which the points A (-1, 3), B (2, x) and C (5, -1) are collinear?

If the points (1, 7), (4, 2), (-1, -1) and (-4, 4) are the vertices of a square then what is the length of the diagonal of square?

If the distance between the points (2, -2) and (5, k) is 5 units, then one of the possible values of k shall be which of the following?

What will be the reflection of point (2, 3) in the second quadrant?

The number of diagonals in a Hexagon is:

If the slope of a line passing through the points A (2, 1) and B (3, y) is 4, then the value of y will be:

What is the slope of x - axis?

The equation of the line which makes equal intercepts on the axis and passes through the point (2,5) shall be:

If the points X(2, -1), Y(3, k), Z(1, 4) are colinear, then the value of k is

A boy was playing with a rectangular cardboard of dimensions 13 cm x 6 cm. While playing, he sliced off identical triangles from the corners of the cardboard in such a manner that a figure having all its sides equal was generated (as shown in the adjoining figure). The area of this six-sided figure is: <img src="https://balti.afterboards.in/6zzQ6iB7Kfoa61T" width="300px"/>

Point A (4, 2) divides segment BC in the ratio 2:5. Coordinates of B and C are (2,6), (9,y) respectively. Find the value of y.

Find the coordinates of the point which divides the line segment joining the points (4, -3) and (8,5) in the ratio 3:1 internally?

If area of a square is 44 cm², find the area of the circle formed by the same perimeter.

If two vertices of a triangle are (5, 4) and (-2, 4) and centroid is (5,6), then third vertex is:

The reflection of the point (6, - 3) on the line y = 2 is:

If a point (x, y) in a plane is equidistant from the points (-1,1) and (4,3), then:

If the two vertices of a triangle are (5,4), and (-2,4) and the centroid is (5,6), then the third vertex is:

Find the value of k for which the points A (-1,3), B (2, k) and C (5, -1) are collinear.

If the points A(11, y), B(13, 5), C(14, 7) and D(12, 6) are the vertices of a parallelogram, taken in order, find the value of y:

(A). The angles of depression of two ships from the top of a lighthouse are $60^\circ$ and $45^\circ$ towards the east. If the ships are $300$ meter apart, the height of the lighthouse is $150(3+\sqrt{3})$ $$\newline$$ (B). If the surface area of a cube is $726 \text{ m}^2$, then its volume shall be $1331 \text{ m}^3$ $$\newline$$ (C) If the ratio of diameters of two spheres is $3:5$, then the ratio of their surface area shall be $9:25$ $$\newline$$ Determine as to which of the statements given above are correct :

The distance between points A (-5, 7) and B (-1, 3) is:

Match List - I with List - II. | List - I (Shape) | List - II (Area) | |---|---| | (A) Square | (I) $\pi a^2$ | | (B) Triangle | (II) $b \times h$ | | (C) Circle | (III) $a \times a$ | | (D) Parallelogram | (IV) $\frac{1}{2} b \times h$ | Choose the correct answer from the options given below :

A point on the y-axis which is equidistant from the points A(6, 5) and B(-4, 3) is:

If point B(0, 1) is equidistant from points A(5, -3) and C(x, 6), then find the values of x.

In the figure, ABCDE and AEPQ are a regular pentagon and a square respectively. What is the measure of angle AQB ?<img src="https://balti.afterboards.in/UlmDFbAadqRs8E3" width="300px"/>

An angle is $\frac{3}{7}$ times its supplementary angles. Find the angle.

An interior angle of a regular polygon is 135$^\circ$. The polygon is a/an:

The point (-2, 3) lies in which quadrant?

The perimeter of the following figure is : <img src="https://balti.afterboards.in/NQKiJD9RePfBqE9" width="400px"/>

In the figure AOB is a straight line then the value of x is <img src="https://balti.afterboards.in/9xAOID8qyT79zsd" width="300px"/>

Match List I with List II | | List-I | | List-II | |---|---|---|---| | A. | <img src="https://balti.afterboards.in/F79Y58RnF83Ia0g" width="200px"/> | I. | $\pi r^2$ | | B. | <img src="https://balti.afterboards.in/U763L3ZAZ0GGIYB" width="200px"/> | II. | $\frac{1}{2} \times$ base $\times$ height | | C. | <img src="https://balti.afterboards.in/5p9beEq5HHYDJKf" width="200px"/> | III. | $\frac{1}{2} \times d_1 \times d_2$ | | D. |<img src="https://balti.afterboards.in/mk4eG9XVNWl7nfC" width="200px"/> | IV. | $\frac{1}{2} \times (a+b) \times h$ | Choose the correct answer from the options given below: