The centroid of the triangle whose vertices are (3, 10), (7, 7), (− 2, 1) is:
Find the yintercept of the line joining two points (1,3) and (3,5)?
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What is the reflection on the point (−4, 3) in the line x = −2?
The distance of point (−2, 3) from the line x − y = 5 is:
Find the coordinates of the centroid of a triangle whose vertices are (0, 6) (8, 12) and (8, 0)?
If the sum of the diagonal elements of a 2 × 2 matrix is −6, then the maximum possible value of determinant of the matrix is ________.
Perform the following operations on the matrix
(i) Add the third row to the second row
(ii) Subtract the third column from the first column.
The determinant of the resultant matrix is ___________.
Point A(4, 2) divides segment BC in the ratio 2 : 5. Coordinates of B are (2, 6) and C is (7, y). What is the value of y?
Find the intercepts made by the line 2x – 3y + 6 = 0 with the coordinate axes.
Point P is the midpoint of segment AB. Coordinates of P are (3,1) and B are (5, −4). What are the coordinates of point A?
If p and q are reciprocal to each other and p = (5 + 2√6), then what will be the value of q?
AB ∥ CD and the line EF cuts these lines at the points M and N respectively. Bisectors of angles ∠BMN and ∠MND meet at the point Q. Find the value of ∠MQN.
Find the value of k for which the lines 5x + 3y + 2 = 0 and 3x − ky + 6 = 0 are perpendicular.
In the given diagram, TU  PS and points Q and R lie on PS. Also, ∠PQT = x°, ∠RQT = (x − 50)° and ∠TUR = (x + 25)°. What is the measure of ∠URS?
The length of the portion of the straight line 3x + 4y = 12 intercepted between the axes is?
314 videos170 docs185 tests

314 videos170 docs185 tests
