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Determine whether the following is a statistical question. Given the distance between Joe's eyes, what is the distance between Alfred's eyes? (yes/no) __

Length and width of rectangle are (x+4) &amp; (x−1), then the area of the rectangle is.

For each pair of polynomials p(x) and q(x) given below find the degree of p(x) + q(x) and p(x)q(x). (i) (ii) (iii) (iv)

In Q. No. 1, if AD = 6 cm, CF = 10 cm, AE = 8 cm , find AB.

Which of the following is non- terminating and repeating decimal ?

Represent 0.45 in pq form.

Question 4In ΔABC, if BC =AB and ∠B=80∘ then ∠A is equal to(A) 80∘(B) 40∘(C) 50∘(D) 100∘

Question 9Find:(i) The lateral or curved surface area of a closed cylindrical petrol storage tank that is 4.2 m in diameter and 4.5 m high.(ii) How much steel was actually used, if 112 of the steel actually used was wasted in making the tank? [Assume π=227]

If \sqrt{7\sqrt{7\sqrt{7\sqrt{7\sqrt{}}}}} = 7x , then the value of x is

In Fig. 66, if AF || DE, then x =(a) 37(b) 57(c) 47(d) 67

Get the algebraic expressions in the following cases using variables, constants and arithmetic operations.(i) One-fourth of the product of numbers p and q.(ii) Product of numbers y and z subtracted from 10.

If the radius of a cylinder is reduced by 50%, then the volume of the cylinder will be reduced by_____.

In the given figure, lines AB and CD intersect at O. If and find ∠BOE and reflex ∠COE.

If we have the measure of 4 sides of a quadrilateral and measure of one of its diagonals, how many distinct quadrilaterals can we construct?1

Question 7 (iii)ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show thatCM=MA=12AB .

The total surface area of a cuboid is 392 cm2 and the length of the cuboid is 12 cm. If the ratio of its breadth and height is 8 : 5, then the volume of the cuboid is _________.

Three angles of a quadrilateral are equal. If the fourth angle is twice the value of the equal angles, then find the measure of the fourth angle.

Question 10 If BM and CN are the perpendiculars drawn on the sides AC and AB of the ΔABC, prove that the points B, C, M and N are concyclic.

Solve the following pair of linear equations:2√x+3√y=24√x−9√y=−1(Where x&gt;0,y&gt;0)

if one diagonal of a rhombus is equal to the side of the rhombus then find all the angles of the rhombu

Write the values of a, b and c for the equation when written in the standard form where ax+by+c=0: y=0.5x+√7.

If the bisectors of the acute angles of a right triangle meet at O, then the angle at O between the two bisectors is(a) 45°(b) 95°(c) 135°(d) 90°

If x​​​​​​2 +1/x​​​​​​2= 7, then find x​​​​​​3+1/x​​​​​​3. How to do this sum?

If the dividend = x4+x3−2x2+x+1,divisor = x−1 and remainder = 2,then find the quotient q(x).

1√49−√48 is equal to

If we know that one side of the rectangle is 8 cm can we construct a unique rectangle?

In the given figure, O is the centre of the circle, PQ is a chord and PT is the tangent at P. If ∠POQ = 70∘ , then ∠TPQ is equal to [CBSE 2011](a) 35∘(b) 45∘(c) 55∘(d) 70∘

The inverse of the matrix ⎡⎢⎣7−3−3−110−101⎤⎥⎦ is

Find the value of (−2)3 × (−3)2.

A tennis ball served horizontally from a height of 1.8 metre strikes the ground 18 metre away from the server. If it touches the net 12 metre from the server then height of the net

Expand (2x+4y)2 using algebraic identity.

The internal dimensions of an aquarium is shown in the figure below. Find the volume of water that it can hold.

Question 1 Diagonals AC and BD of a parallelogram ABCD intersect each other at O. If OA = 3cm and OD = 2cm, determine the lengths of AC and BD.

In the given figure, PB and QA are perpendicular to line segment AB. If PO=7cm, QO=12 cm, and area of ΔPOB=245 cm2, find the area of ΔQOA.[2 marks]

Give an example of a polynomial, which is:(i) Monomial of degree 1.(ii) Binomial of degree 20.(iii) Trinomial of degree 2.

The construction of a triangle ABC in which AB = 4 cm, ∠A = 60∘ is not possible when difference of BC and AC is equal to:

The length, breadth and height of a cuboidal silver box are 4.5 cm, 6 cm and 7.5 respectively, find the lateral surface area of cuboidal box.

The ratio of the radii of two circles is 3 : 2. What is the ratio of their circumference?

Factorise: 4(2x−3y)2−8x+12y−3

ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD( See the given figure). Show thatΔAPB≅ΔCQD

What is Lateral conjugation and Scalariform conjugation.

In ΔABC and ΔDEF, AB = DE, AB || DE, BC = EF and BC || EF. Vertices A, B, and C are joined to vertices D, E and F respectively ( see the given figure). Then, quadrilateral ACFD:

If ABCD is a rhombus with ∠ABC = 56°, find the measure of ∠ACD.

Rational number -18/5 lies between which two consecutive integers?

Mr. Grover is 62 years old and earns ₹7,50,000 per annum. How much income tax (along with Education cess and Secondary education cess) he has to pay according to the taxation table?

If we know that one side of a rectangle is 8 cm, can we construct a unique rectangle?

x2+x(a+b)+ab is equal to

If one of the factors of x2+x−20 is (x+5), find the other factor.

Length and width of rectangle are (x+4) & (x−1), then the area of the rectangle is.

Solve the following pair of linear equations:2√x+3√y=24√x−9√y=−1(Where x>0,y>0)

If x2 +1/x2= 7, then find x3+1/x3. How to do this sum?