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All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find rthe probability that the drawn card si (i) a red card, (ii) a face card, (iii) a card of clubs.

The radii of the circular ends of a bucket of height 40 cm are 24 cm and 15 cm. The slant height (in cm) of the bucket is

(a) 41 (b) 43 (c) 49 (d) 51

If A = [ x:x is a multiple of 3] and B = [x:x is a multiple of 5] , then A - B is ($\overline{A}$ means complement of A)

Let ABC be a triangle and D and E be two points on side AB such that AD = BE. If DP $\parallel$ BC and EQ $\parallel$ AC, then prove that PQ $\parallel$ AB.

Question 177(i)

Find x.
$-{\left(\frac{1}{7}\right)}^{-5}÷-{\left(\frac{1}{7}\right)}^{-7}=(-7{)}^x$

If the perimeter and the area of a sector of a circle are $25\text{cm}$ and $38.5{\text{cm}}^2$ respectively, then the central angle can be equal to

The radii of the base of a cylinder and a cone are in the ratio 3 : 4. If they have their heights in the ratio 2 : 3, the ratio between their volumes is

(a) 9 : 8 (b) 3 : 4 (c) 8 : 9 (d) 4 : 3

A solid iron rectangular block of dimensions 4.4 m, 2.6 m and 1 m is cast into a hollow cylindrical pipe of internal radius 30 cm and thickness 5 cm. Find the length of the pipe (in m).

A conical metallic solid is melted to form some cylindrical rods. The ratio of the radius of the conical solid to that of the cylindrical rod is 4:1, while the ratio of the height of the conical solid to that of the cylindrical rod is 3: 2.

How many cylindrical rods are formed?

Assertion: The measure of $\angle AOC={60}^{\circ }$

Reason: Angle subtended by an arc of a circle at the center of the circle is double the angle subtended by the arc on the circumference.

Which of the following is correct?

State the parts of speech of the underlined words.

Two men in untidy work shirts sat at the far end of the restaurant engrossed in a serious discussion.

If product of the two zeroes of the polynomial p(x)=2x³++6x²-4x+9 is 3, then find its third zero

Look at the following table below.

$$\begin{array}{cc}Classinterval& Classmark\\ 0-5& A\\ 5-10& B\\ 10-15& 12.5\\ 15-20& 17.5\end{array}$$

The value of A & B respectively are:

The centres of two circles of radii 3 cm and 2 cm are 8 cm apart. Find the length of the common tangent.

Which term of the AP: 3, 15, 27, 39, ... will be 132 more than its ${54}^{th}$ term?

Which of the following options are equal to $\frac{\tan A}{\sec A-1}+\frac{\tan A}{\sec A+1}$ ?

In the given figure, AB and CD are two equal chords of a circle. The angle ODC will be equal to

Sir in one of your videos it was given that

tanA+cotA=2cosec2A

And

cot A - tanA=2cot2A

Sir could you please prove these 2 identities i am unable to prove.

Thank you sir.

If sin[90 - (A+B)] = cosx = cosy

find the value of x and y; if y is the angle C of triangle ABC. (In triangle ABC, A+B=90)

Calculate the missing frequency from following distribution,it being given that the median of the distribution is 24.

$$\begin{array}{cccccc}Age\left(inyears\right)& 0-10& 10-20& 20-30& 30-40& 40-50\\ Numberof& & & & & \\ Persons& 5& 25& ?& 18& 7\end{array}$$

If 13tan A + 13 = 17secA, 0 < x < 90; then find sin A - cos A.

A toy in shape of a hemisphere of radius 14 cm is surmounted by a cone of height 22 cm. Find the volume of the toy.