In a parliament election, a political party hired a public relations firm to promote its candidates in three ways — telephone, house calls and letters. The cost per contact (in paise) is given in matrix A as
he number of contacts of each type made in two cities X and Y is given in the matrix B as
Find the total amount spent by the party in the two cities.
he number of contacts of each type made in two cities X and Y is given in the matrix B as
Find the total amount spent by the party in the two cities.
To promote the making of toilets for women, as organisation tried to generate awareness through (i) house calls (ii) letters and (iii) announcements.
The cost for each mode per attempt is given below :
(i) ₹ 50 (ii) ₹ 20 (iii) ₹ 40
The number of attempts made in three villages X, Y and Z and given below :
If A = , find A² – 5A + 4I and hence find a matrix X such that A² – 5A + 4I + X = 0.
Three schools A, B and C organised a fete (mela) collecting funds for flood victims in which they sold hand-helds fans, mats and toys made from recycled material, the sale price of each being ₹ 25, ₹ 100 and ₹ 50 respectively. The following table shows the number of articles of each type sold :
If the radius of sphere is measured as 9 cm with an error of 0.03 cm, then find the approximate error in calculating its surface area.
Find the position vector of a point R, which divides the line joining two points P and Q whose position vectors are and respectively, externally in the ratio 1 : 2 Also, show that P is the mid-point, of line segment RQ.
Prove that the function f : [0, ∞) → R given by f(x) = 9x² + 6x – 5 is not invertible. Modify the Codomain of the function f to make it invertible, and hence find f⁻¹.
Let R be a relation defined on the set of natural numbers N as follow :
R = {(x, y) : and 2x + y = 24}
Find the domain and range of the relation R. Also,find if R is an equivalence relation or not.
Find the points on the curve x² + y² – 2x – 3 = 0 at which tangent is parallel to x-axis.