HSC Science (Electronics) इयत्ता ११ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Find the value of k, if the area of triangle whose vertices are P(k, 0), Q(2, 2), R(4, 3) is `3/2 "sq.unit"`

Examine the collinearity of the following set of point:

A(3, −1), B(0, −3), C(12, 5)

Examine the collinearity of the following set of point:

P(3, −5), Q(6, 1), R(4, 2)

Examine the collinearity of the following set of point:

`"L"(0, 1/2), "M"(2, -1), "N"(-4, 7/2)`

Select the correct option from the given alternatives:

If A(0,0), B(1,3) and C(k,0) are vertices of triangle ABC whose area is 3 sq.units then value of k is

Answer the following question:

Find the area of triangle whose vertices are A(−1, 2), B(2, 4), C(0, 0)

Answer the following question:

Find the area of triangle whose vertices are P(3, 6), Q(−1, 3), R(2, −1)

Answer the following question:

Find the value of k:

If area of triangle is 4 square unit and vertices are P(k, 0), Q(4, 0), R(0, 2)

Answer the following question:

Find the value of k:

If area of triangle is `33/2` square unit and vertices are L(3, −5), M(−2, k), N(1, 4)

Answer the following question:

Find the area of quadrilateral whose vertices are A(0, −4), B(4, 0), C(−4, 0), D(0, 4)

Answer the following question:

Show that the following points are collinear by determinant:

L(2,5), M(5,7), N(8,9)

Answer the following question:

Show that the following points are collinear by determinant:

P(5,1), Q(1,−1), R(11,4)

The means of two samples of sizes 60 and 120 respectively are 35.4 and 30.9 and the standard deviations 4 and 5. Obtain the standard deviation of the sample of size 180 obtained by combining the two sample

For a certain data, following information is available:

Obtain the combined standard deviation

Select the correct option from the given alternatives :

If there are 10 values each equal to 10, then S.D. of these values is : ––––––––––

Select the correct option from the given alternatives :

Number of patients who visited cardiologists are 13, 17, 11, 15 in four days then standard deviation (approximately) is ______.

Answer the following :

Calculate S.D. from following data:

Answer the following :

The arithmetic mean and standard deviation of a series of 20 items were calculated by a student as 20 cms and 5 cms respectively. But while calculating them, an item 13 was misread as 30. Find the corrected mean and standard deviation

Answer the following :

The mean and S.D. of a group of 50 observations are 40 and 5 respectively. If two more observations 60 and 72 are added to the set, find the mean and S.D. of 52 items.

Answer the following :

The mean height of 200 students is 65 inches. The mean heights of boys and girls are 70 inches and 62 inches respectively and the standard deviations are 8 and 10 respectively. Find the number of boys and the combined S.D.