Forum

Introduction to Trignometry & its Equation

 If cos A = 4/5, , then the value of tan A is 

(A) 3/5 (B)/34 (C)4/3 (D)5/3

Introduction to Trignometry & its Equation

The value of (sin30° + cos30°) – (sin60° + cos60°) is

(A) – 1 (B) 0 (C) 1 (D) 2

Coordinate Geometry

Ayush starts walking from his house to office. Instead of going to the office directly, he goes to a bank first, from there to his daughter’s school and then reaches the office. What is the extra distance travelled by Ayush in reaching his office? (Assume that all distances covered are in straight lines).

If the house is situated at (2, 4), bank at (5, 8), school at (13, 14) and office at (13, 26) and coordinates are in km.

Coordinate Geometry

Students of a school are standing in rows and columns in their playground for a drill  practice. A,  B,  C  and  D  are  the  positions  of  four  students  as  shown  in figure.  Is  it  possible  to  place  Jaspal  in  the  drill  in  such  a  way  that  he  is equidistant from each of the four students A, B, C and D? If so, what should be his position?

Coordinate Geometry

If the points A (1, –2), B (2, 3) C (a, 2) and D (– 4, –3) form a parallelogram, find the value of a and height of the parallelogram taking AB as base.

Coordinate Geometry

The points A (x1, y1), B (x2, y2) and C (x3 y3) are the vertices of ∆ ABC.

(i) The median from A meets BC at D. Find the coordinates of the point D.

(ii) Find the coordinates of the point P on AD such that AP : PD = 2 : 1

(iii) Find  the  coordinates  of  points  Q  and  R  on  medians  BE  and  CF, respectively such that BQ : QE = 2 : 1 and CR : RF = 2 : 1

(iv) What are the coordinates of the centroid of the triangle ABC?

Coordinate Geometry

A (6, 1), B (8, 2) and C (9, 4) are three vertices of a parallelogram ABCD. If E is the midpoint of DC, find the area of ∆ ADE.

Coordinate Geometry

If (– 4, 3) and (4, 3) are two vertices of an equilateral triangle, find the coordinates of the third vertex, given that the origin lies in the interior of the triangle.

Coordinate Geometry

The mid-points D, E, F of the sides of a triangle ABC are (3, 4), (8, 9) and (6, 7). Find the coordinates of the vertices of the triangle.

Coordinate Geometry

Find the ratio in which the line 2x + 3y – 5 = 0 divides the line segment joining the points (8, –9) and (2, 1). Also find the coordinates of the point of division.