Q 2. If
is the HCF of polynomials P(x) = x3 7x + 6 and Q(x) = x3 x2 + x 1, respect the value of
Q. 3. If the 10th term of an AP is 52 and the 17th term is 20 more than the 13th term, find the A.P. Q. 4. Using A.P., find the sum of all 3-digit natural numbers which argon multiples of 7. Q. 5. Solve the following equations for x and y: mx ny = m2 + n2 and x + y = 2m Or
Abdul travelled 300 km by train and 200 km by taxi, it took him 5 hours 30 minutes. But if he travels 260 km by train and 240 km by taxi he takes 6 minutes longer. keep an eye on the speed of the train and that of the taxi. Q. 6. Solve for x and y: Q. 7. An air-conditioner is open for Rs. 24,000 cash or for Rs. 8,000 as cash down requital followed by 6 monthly instalments of Rs. 2,800 each. Find the rate of c atomic number 18 charged under the instalment scheme. Q. 8. A computer is accessible for Rs. 78,600 cash or for Rs. 25,640 cash down payment and cardinal equal half yearly instalments. If the dealer charges interest at the rate of 20% per annum, compounded semi-annually, find the amount of each instalment. Q. 9. In AD is a median and E is mid-point of AD (Figure 1). If BE is produced it meets AC at F.
Show that AF = 1/3 AC.
Or
P is a point in the interior of rectangle ABCD. If P is joined to each of the vertices of the rectangle, prove that PB2 + PD2 = PA2 ÷ PC2.
Q. 10. In Figure 2, A, B and C are collinear and D, E and F are also collinear. Prove that AD || CF.
SECTION - B Question numbers 11 to 20 carry 4 marks each. Q. 11. Solve the following system of linear equations graphically: 3x - 2y 1 = 0, 2x - 3y + 6 = O Shade the region bounded by the lines and x-axis. Q. 12. Construct a in which QR = 6.5 cm, many such triangles are possible? and median from P to QR is5 cm long. How
Q. 13. Without using trigonometric...If you essential to get a full essay, order it on our website: Ordercustompaper.com
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