Explore topic-wise InterviewSolutions in .

In the given figure, AB and CD are two equal chords of the circle with centre O. OP and OQ are perpendiculars of the chord AB and CD respectively. If $\angle POQ={80}^{\circ },$ then what is the value of $\angle APQ$?

Draw an equilateral triangle with sides equal to 6 cm. Construct the incircle and circumcircle for the triangle. Which of the following is true?

△ ABC and parallelogram ABDE have the same base AB and lie between the same parallels. If area of △ ABC is 12.5 sq cm, then area of parallelogram ABDE =_____ sq cm.

Match the following statements:

In a triangle ABC, $\angle A=8x,\angle B=5x$ and AB = AC, then the value of x is .

Factorise each of the following:

(i)

(ii)

[Hint: See question 9.]

What line does the points (0,0), (0,2) and (0,5) lie on?

In the given figure, if MN $\parallel$ PQ, then find the value of $x$.

Diagonals of a quadrilateral are of lengths 10 cm and 24 cm. If the diagonals bisect each other at right angles, then the length of each side is

By knowing the base and ___ of a triangle we can calculate the area of a triangle.

If $a^2=logx$, $b^3=logy$ and $\frac{a^2}{2}-\frac{b^3}{3}=logc$, find c in terms of $x$ and $y$.

The value of a machine worth $Rs.500000$ is depreciating at the rate of $10\%$ every year. In how many years will its value be reduced to $Rs.364500$

If AD is median of ΔABC and P is a point on AC such that area (ΔADP) : area (ΔABD) = 2 : 3, then ar(ΔPDC) : ar(ΔABC) is

A triangle ABC has been enlarged by scale factor k = 2.5 to the triangle A' B' C'.

Calculate:

(i) the length of AB, if A' B' = 6cm.

(ii) the length of C'A' if CA= 4cm.

After Six years , a man's age will be three times the age of his son and three years ago he was nine times of his son's age. Find the present age of the man. [3 MARKS]

Using factor theorem, show that g(x) is a factor of p(x), when
$p\left(x\right)=2\sqrt{2}{x}^2+5x+\sqrt{2},g\left(x\right)=x+\sqrt{2}$

Write the number $0.\overline{35}$ in the form $\frac{p}{q}$, where p and q are integers and $q\ne 0$, is

In the given figure, if PQ || ST, ∠PQR = 110º and ∠RST = 130º, find ∠QRS.

[Hint: Draw a line parallel to ST through point R.]

The points(–3, –3) (–1,–1 ), (1, 1) and (3, 3) connected in the order from a _________________

…, $-4,-3,-2,-1$

What order are the above integers arranged in?

___

For the equations $\frac{2}{x}+\frac{3}{y}=13$ and

$\frac{5}{x}-\frac{4}{y}=-2$ where $x\ne 0\&y\ne 0$, the value of

If the ordinate is twice the abscissa, then find the point on the line 7x - 3y = 8.

Factorise $x(x-a)-y(y-a)$

What do you call a set of some outcomes of an experiment?

In adjoining figure, $PS\perp RQ$ and $QT\perp PR$. If $RQ=6,PS=6$ and $PR=12$, then Find $QT$.

2 rational numbers between √2 and √3

Find the value of K if $(\frac{-3k+1}{k+1},\frac{4k+2}{k+1})$ lies on x + y - 5 = 0

In the given figure, AB || CD. Find the value of x,y and z.

${\left(\right(2{)}^2)}^2$× ($3^3$ ÷$4^2$) ÷ $3^2$ is equal to

A cylindrical bucket of height 18cm, had $1200c{m}^3$ of water.

This water was used to fill a cuboid having base dimensions 8cm x 10cm. After filling the cuboid, 6 cm of water still remained in the cylindrical bucket, find the height of the cuboidal box.