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Answer the following
- Rationalize the denominator : 7-3√2 / 7+3√2
- Visualize 4.26 on the number line, using successive magnification upto 4 decimal places
- Find the points where the graph of the equation 3x + 4y =12 cuts the x-axis and the y-axis
- Three vertices of a rectangle are (4, 2), (– 3, 2) and (– 3, 7). Plot these points and find the coordinates of the fourth vertex.
- Angles of a quadrilateral are in the ratio 3 : 4 : 4 : 7. Find all the angles of the quadrilateral.
- Factorize: 12x2 –7x + 1
- The angles of triangle are (x + 10° ), (2x – 30° ) and x° . Find the value of x
- In below Fig. , if AC = BD, then prove that AB = CD
- Without actually calculating the cubes, find the value of (23)3 + (–15)3 + (–8)3
- In the figure, PR > PQ and PS bisects ∠QPR. Prove that ∠PSR > ∠PSQ.
- Factorise: x3 -23x2 +142x-120
- If x – 2 is a factor of x3 – 3x +5a then find the value of a.
- The polynomial f(x) = x4 – 2x3 + 3x2 – ax + b when divided by (x – 1) and (x + 1) leaves the remainders 5 and 9 respectively. Find the values of a and b.
- AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see figure). Show that ∠A > ∠C and ∠B > ∠D.
- The taxi fare in a city is as follows: For the first kilometre, the fare is Rs 8 and for the subsequent distance it is Rs 5 per km. Taking the distance covered as x km and total fare as Rs y, write a linear equation for this information, and draw its graph.
- Prove that “The line segment joining the mid-points of two sides of a triangle is parallel to the third side and half of it.”
©Qusais Tuition,Dubai
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