Question 1 :
How many solution(s) of the equation 2x + 1 = x – 3 are there on the number line ?
Question 3 :
A linear equation 2x + 3y = 5 has a unique solution. State true or false.
Question 4 :
The equation x = 7, in two variables, can be written as:
Question 5 :
The point (0, 3) lies on the graph of the linear equation 3x + 4y = 12. State true or false.
Question 6 :
The linear equation that converts Fahrenheit (F) to Celsius (C) is given by the relation $C = \frac {5F - 160}{9}$ . If the temperature is 35°C, what is the temperature in Fahrenheit?
Question 7 :
The graph of every linear equation in two variables need not be a line. State true or false.
Question 8 :
State true or false: The whole is greater than the part.
Question 9 :
A Greek mathematician, ______ is credited with giving the first known proof.
Question 11 :
State true or false: In geometry, we take a point, a line and a plane as undefined terms
Question 13 :
State true or false and justify: Two distinct intersecting lines cannot be parallel to the same line.
Question 14 :
In Ancient India, Altars with combination of shapes like rectangles, triangles and trapeziums were used for :
Question 15 :
The points (other than origin) for which abscissa is equal to the ordinate will lie in
Question 16 :
State true or false: The coordinates of the origin are (0, 0).
Question 17 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1b2f59b460d7261f4a9.png' />
According to the figure above, what are the coordinates of D?
Question 19 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1b9f59b460d7261f4b2.png' />
According to the figure above, what are the coordinates of the point L ?
Question 20 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d12df59b460d7261f3e9.PNG' />
In the above figure, LM is a line parallel to the y-axis at a distance of 3 units. What are the coordinates of the point R?
Question 21 :
If y coordinate of a point is zero, then this point always lies
Question 22 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d150f59b460d7261f41c.png' />
If in the above figure, bisectors AP and BQ of the alternate interior angles are parallel, then 'l' and 'm' are _____________.
Question 23 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d148f59b460d7261f410.png' />
In the above figure, AB, CD and EF are three lines concurrent at O. Find the value of 'y'.
Question 25 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d14df59b460d7261f417.png' />
In the above figure, find the value of 'x' for which the lines 'l' and 'm' are parallel.
Question 26 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d14bf59b460d7261f414.png' />
In the picture given above, POQ is a line. The value of x is ________.
Question 27 :
Two lines 'l' and 'm' are perpendicular to the same line 'n'. Are 'l' and 'm' perpendicular to each other?
Question 28 :
An exterior angle of a triangle is $105^{\circ}$ and its two interior opposite angles are equal. What is the value of each of these equal angles?
Question 37 :
If x – 1 is a factor of $p(x) = kx^2-\sqrt{2}x+1$ , k is-
Question 38 :
State true or false: $(x - y)^3 = x^3 - y^3 - 3xy (x - y)$.
Question 39 :
State true or false: $(x + y)^3 = x^3 + y^3 + 3xy (x + y)$.
Question 40 :
What is the value of p(2) for the polynomial $p(x)=x^3$ ?
Question 42 :
Is $x+2$ a factor of $p(x) = x^3 + 3x^2 + 3x + 1$-
Question 43 :
Which of the following is not a criterion for congruence of triangles?
Question 44 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d26df59b460d7261f5b1.PNG' />
In the above fig, ∠B < ∠A and ∠C < ∠D. Which of the following is true?
Question 45 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d254f59b460d7261f592.PNG' />
In the above fig, ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA. Is ∆ ABD ≅ ∆ BAC?
Question 46 :
In triangles ABC and DEF, AB = FD and $∠$A = $∠$D. The two triangles will be congruent by SAS axiom if
Question 47 :
In $∆$ PQR, $∠$R = $∠$P and QR = 4 cm and PR = 5 cm. Then the length of PQ is
Question 50 :
State true or false: Only one line can pass through a single point.
Question 51 :
State true or false: All right angles are equal to one another.
Question 52 :
State true or false: Two distinct intersecting lines are parallel to the same line.
Question 53 :
If the point (3, 4) lies on the graph of the equation 3y = ax + 7, find the value of a.
Question 54 :
Which of the following is not a solution of 2x+y = 7 ?
Question 55 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1cff59b460d7261f4d1.png' />
In the above image, the geometric representation of y = 3 as an equation in ____ is given. Fill in the blank.
Question 56 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1c7f59b460d7261f4c6.PNG' />
What is the equation of the graph in the above image?
Question 57 :
Write 2x = y equation in the form ax + by + c = 0 and indicate the values of a, b and c in it respectively.
Question 62 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ad778c526e972caf086.JPG' />
In the above figure, lines PQ and RS intersect each other at point O. If $ \angle POR $ : $ \angle ROQ$ = 5 : 7, find $ \angle POR$ (in degrees).
Question 63 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1ad978c526e972caf08d.PNG' />
In the above fig, if $PQ \parallel ST$, $\angle PQR = 110^{\circ}$ and $\angle RST = 130^{\circ}$, find $\angle QRS$.
Question 64 :
If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles. Is it true?
Question 65 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d1e2f59b460d7261f4ed.png' />
In the above fig, if lines PQ and RS intersect at point T, such that $\angle PRT = 40^{\circ}$, $\angle RPT = 95^{\circ}$ and $\angle TSQ = 75^{\circ}$, find $\angle SQT$.
