The error in the measurement of the sides of a rectangle is 1%. The error in the measurement of its area is
(A) 1 %
(B) 1/2 %
(C) 2 %
(D) None of the above.
1 Answers
The mass of a cube has error of 2% and the length of its edge has error of 1%. What will be the maximum percentage error in calculation of its density
Density of cube `(p)=(M)/(V)=(M)/L^(3)) therefore((Deltap)/(P))_("max")xx100=((DeltaM)/(M)xx100)+3(DeltaL)/(L)xx100)=2%+3(1%)=5%`
2 Answers 1 views
ABCD is a rectangle with `A(-1,2),B(3,7)` and `AB:BC=4:3`. If P is the centre of the rectangle, then the distance of P from each corner is equal to
Correct Answer - D Since ABCD is a rectangle, `(AC)^2=(AB)^2+(BC)^2` `=(AB)^2[1+(9)/(16)]=(25)/(16)(AB)^2` and `PA=(AC)/(2)=(5AB)/(8)` `(5)/(8)sqrt((-1-3)^2+(2-7)^2)=5(sqrt41)/(8)`
2 Answers 6 views
There is an error of `0.2%` in measurment of the redius of a sphere. Find the percentage error in its (i) volume, (ii) surface.
Correct Answer - `(i) 0.6% (ii) 0.4%`
2 Answers 1 views
(i) The two sides of a rectangle are x units and (10 - x) units. For what value of x, the area of rectangle will be maximum? (ii) Prove that a rectang
Correct Answer - x = 5
2 Answers 1 views
If the perimeter of a rectangle is 10 cm and the difference between its length and breadth is 1 cm, then its length is ______ and its breadth is _____
Correct Answer - 3 cm and 2 cm
2 Answers 1 views
A lawn is in the form of a rectangle whose sides are in the ratio 5:3 the area of the lawn is 3375 `m^(2)` .Find the cost of fencing the lawn at Rs. 6
Correct Answer - Rs.15600
2 Answers 1 views
A lawn is in the form of a rectangle whose sides are in the ratio 5:3 and its area is 3375 `m^(2)`.Find the cost of fencing the lawn at Rs. 20 per met
Correct Answer - `Rs,4800`
2 Answers 1 views
If there is an error of 0.1% in the measurement of the radius of a sphere, find approximately the percentage error in the calculation of the volume of
Correct Answer - 0.003
2 Answers 1 views
The sides of a rectangle are given by the equations x=-2, x = 4, y=-2 andy=5. Find the equation of the circle drawn on the diagonal of this rectangle
Correct Answer - ` x ^(2) + y ^(2) - 2x - 3y - 18 =0`
2 Answers 1 views
The difference between the lengths of the parallel sides of a trapezium is 8 cm, the perpendicular distance between these sides is 24 cm and the area
Correct Answer - 17 cm, 9 cm
2 Answers 1 views