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In a parallelogram ABCD, AB = 10 cm and AD = 6 cm. The bisector of $\angle A$ meets DC in E. AE and BC produced meet at F. The length of CF is __ cm.

A and B are two sets such that n (A - B) =14 + x, n(B - A) = 3x and n(A $\cap$ B) = x.

Draw a Venn diagram to illustrate information and if n(A) = n(B), then find the value of x.

If A (-2, 1), B(2, 3) and C(-2, -4) be the vertices of a $△$ ABC, show that tan B = $\frac{2}{3}$

According to the Antyodaya Anna Yojana programme, at what rate is wheat given to poor people?

The mean weight of 70 Students in a class is 60 kgs. The mean weight of boys is 70 kgs while that of girls is 50 kgs.

Find the number of boys in the class.

What's the difference between remainder theorem and factor theorem?

Solve the following pairs of linear equations using the method of elimination by substitution

1) .2x-3y+6=0. 2x+3y-18=0

If area of parallelogram ABCD is 25 cm² and on the same base CD, a triangle BCD is given such that area BCD = x cm², then value of x is

Evaluate 2.66666666...+0.999999999....=0.232323....

Question 89

State whether the statement is True or False.

Product of three negative integers is a negative integer.

The remainder when x³ + x² – 2x + 1 is divided by (x + 1) is

A tower subtends an angle of ${30}^{\circ }$ at a point on the same level as its foot. At a second point 'h' meters above the first point, the angle of depression to the foot of the first tower is ${60}^{\circ }$. The height of the tower is:

In the given figure, if x = y and AB = CB, then AE is _____.

Write the class size in each of the following:
(i) 0-4, 5-9, 10-14
(ii) 10-19 - 20-29, 30-39
(iii) 100 - 120, 120-140, 160-180
(iv) 0-0.25, 0.25-0.50, 0.50-075
(v) 5-5.01, 5.01-5.02, 5.02-5.03

Three unbiased coins are tossed together, then which of the following is true?

Prove that the perpendicular bisectors of the sides of a cycle quadrilateral are concurrent.

The equation of the line shown in the graph is.

Find the area of a parallelogram given in the figure. Also, find the length of the altitude from vertex A on the side DC.

For what value of x will the lines l and m be parallel to each other?

In the figure, AB = AC and CP || BA and AP is the bisector of exterior $\angle CADof\Delta ABC$. Prove that (i) $\angle PAC=\angle BCA$(ii) ABCP is a parallelogram.

If x = 0 and x = - 1 are the roots of the polynomial f(x) = $2x^3-3x^2$ + ax + b, find the value of a and b.

1. 28

If $A=\{y:y=\frac{a+1}{2},aϵW\text{and}a\le 5\},B\{y:y=\frac{2n-1}{2},nϵW\text{and}n<5\}\text{and}C=\{-1,\frac{-1}{2},1,\frac{3}{2},2\}$ then $A-(B\cup C)=$

Identify the major sector in the given circle.

How many non-overlapping triangles can we make in an $n-$gon (polygon having $n$ sides), by joining the vertices?
a) $n-1$
b) $n-2$
c) $n-3$
d) $n-4$

Is quadrilateral ABCD a rhombus?

I. Quadrilateral ABCD is a ||gm.

II. Diagonals AC and BD are perpendicular to each other.

The correct answer is: (a)/(b)/(c)/(d).

The largest 3 digit composite number is:-

From the given figure :

Find the sum of x, y and z.

Sir,

Please answer for the below question.

If both x-2 and x-1/2 are factors of pxsquare+5x+r show that p= r

ABCD is a trapezium in which AB ⃦CD and AD =BC (see the given figure). Show that
(i) ∠A = ∠B
(ii) ∠C=∠D
(iii) △ABC ≅△BAD
(iv) Diagonal AC=diagonal BD
[Hint: Extend AB and draw a line through C parallel to DA intersecting AB produced at E.]

64a³_27b³_144a²b+108ab²

Is question

A dice is thrown, what is the probability that the number appearing on it is divisible by 2 or 3?

Question 6 (ii)
Give one example of a situation in which
(ii) The mean is not an appropriate measure of central tendency but the median is an appropriate measure of central tendency.

In parallelogram ABCD, AL ⊥ CD and CM ⊥ AD. If AL=20cm , CD=12 cm, CM=8cm, then perimeter of the parallelogram is

Which of the following can be the length of BC required to construct the triangle ABC such that AC = 6.7 cm and AB = 5.3 cm?

The magnitude of measure of a planar region is called its.

Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation.

There is a regular octagonal park. The surface area of the park is ___ (in $m^2$ )

1. 8

A chord 8cm long is at a distance of 3cm from the centre of a circle. Its radius is