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An irrational number between 2 and 2.5 is
Which of the following is a polynomial in one variable?
If p(x) = (x4 – x2 + x), then
If p(x) = x3 + x2 + ax + 115 is exactly divisible by (x + 5) then a = ?
The equation of y-axis is
In the given figure, the value of x is
In the given figure, CE || BA and EF || CD. If ∠BAC = 40°, ∠ACB = 65° and ∠CEF = x° then the value of x is
Factorize: √2x2 + 3x + √2
Prove that √5 is an irrational number.
Draw the graph of the equation y = 2x + 3
If x = (3 + √8), find the value of
Find the area of the triangle whose sides measure 52 cm, 56 cm and 60 cm respectively.
In the given figure, AB || CD. Find the value of x.
Find the values of a and b so that the polynomial (x4 + ax3 – 7x2 - 8x + b) is exactly divisible by (x + 2) as well as (x + 3).
Using remainder theorem, find the remainder when p(x) = x3 – 3x2 + 4x + 50 is divided by (x + 3).
Factorize: (2x3 + 54)
Find the product (a – b – c) (a2 + b2 + c2 + ab + ac – bc)
In a ΔABC, if ∠A - ∠B = 33° and ∠B - ∠C = 18°, find the measure of each angle of the triangle.
In the given figure, in ΔABC, the angle bisectors of ∠B and ∠C meet at a point O. Find the measure of ∠BOC.
In the given figure, AB || CD. If ∠BAO = 110°, ∠AOC = 20° and ∠OCD = x°, find the value of x.
In a right-angled triangle, prove that the hypotenuse is the longest side.
In the given figure, prove that:
x = α + β + γ
Find six rational numbers between 3 and 4.
If , find the values of a and b.
Factorize: (5a – 7b)3 + (9c – 5a)3 + (7b – 9c)3
12(x2 + 7x)2 – 8(x2 + 7x) (2x – 1) – 15(2x – 1)2
If (x3 + ax2 + bx + 6) has (x – 2) as a factor and leaves a remainder 3 when divided by (x – 3), find the values of a and b.
Without actual division, show that (x3 – 3x2 – 13x + 15) is exactly divisible by (x2 + 2x - 3).
Factorize: a3 – b3 + 1 + 3ab
In the given figure, AB || CD, ∠ECD = 100°, ∠EAB = 50° and ∠AEC = x°. Find the value of x.
Prove that the bisectors of the angles of a linear pair are at right angles.
In the given figure, AD bisects ∠BAC in the ratio 1: 3 and AD = DB. Determine the value of x.
In the given figure, AM ⊥ BC and AN is the bisector of ∠A. If ∠ABC = 70° and ∠ACB = 20°, find ∠MAN.
If the bisector of the vertical angle of a triangle bisects the base, prove that the triangle is isosceles.