| Class XI |
Mathematics |
Mathematics |
9 |
therefore, we have slope of P P = slope of P P 1 1 2 y − y y − y y − y i.e., 1= 2 1, or y − y1= 2 1( x− x 1). x− x1 x2− x1 x2 − x1 Thus, equation o... |
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| Class XI |
Mathematics |
Mathematics |
9 |
II Suppose line L with slope m makes x-intercept d. Then equation of L is y = m(x – d) ... (4) Students may derive this equation themselves by the ... |
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| Class XI |
Mathematics |
Mathematics |
9 |
general linear equation or general equation of a line. EXERCISE9.2 In Exercises 1 to 8, find the equation of the line which satisfy the given condi... |
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| Class XI |
Mathematics |
Mathematics |
9 |
owner of a milk store finds that, he can sell 980 litres of milk each week at Rs 14/litre and 1220 litres of milk each week at Rs 16/litre. Assumin... |
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| Class XI |
Mathematics |
Mathematics |
9 |
and AB C 2 C 2 C 2 2 QR = 0+ + ( − 0 ) = A +B A B AB Substituting the values of area (∆PQR) and QR in (1), we get Ax1+B y +C PM = 1 A2 +B ... |
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| Class XI |
Mathematics |
Mathematics |
9 |
of lineAx + By + C = 0, we get A = 3, B = – 4 and C = – 26. Given point is (x , y ) = (3, –5). The distance of the given point from given line is 1... |
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| Class XI |
Mathematics |
Mathematics |
9 |
0. at right angle. Find the value of h. Reprint 2026-27 168 MATHEMATICS 10. Provethatthelinethroughthepoint(x ,y )1nd1aralleltothelineAx+By+C=0is A... |
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| Class XI |
Mathematics |
Mathematics |
9 |
intersection of two lines is (1, 1). Since above three lines are concurrent, the point (1, 1) will satisfy equation (2) so that 5.1 + k .1 – 3 = 0 ... |
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| Class XI |
Mathematics |
Mathematics |
9 |
Slope of line x −3y +4 =0 , k −2 −1 so that = or 3h+ k =5 ... (2) h −1 1 h +1 k + 2 andthemid-pointofPQ,i.e., point , willsatisfytheequation(... |
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| Class XI |
Mathematics |
Mathematics |
9 |
1 2m c 2 1 ( c2− c1) = 0 −c 2 + (c2−c +1) 0 c1− = 2 m 1m 2 m 1m 2 m 1m 2 2 m 1 − m 2 Example 15 A line is such that its segment bet... |
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| Class XI |
Mathematics |
Mathematics |
9 |
that the path of a moving point such that its distances from two lines 3x – 2y = 5 and 3x + 2y = 5 are equal is a straight line. Solution Given lin... |
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| Class XI |
Mathematics |
Mathematics |
9 |
6 point, where it meets the y-axis. 7. Find the area of the triangle formed by the lines y – x = 0, x + y = 0 and x – k = 0. 8. Find the value of p... |
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| Class XII |
Accountancy |
Computerised Accounting System |
4 |
the text to be changed, or do the following to select the chart element from a list of chart elements: 2. Click anywhere in the chart. 3. This disp... |
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| Class XI |
Mathematics |
Mathematics |
9 |
(perpendicular sides) of the triangle which are parallel to the axes. 17. Find the image of the point (3, 8) with respect to the line x +3y = 7 ass... |
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| Class XI |
Mathematics |
Mathematics |
9 |
by m = tan α, α ≠ 90°. Slopeofhorizontallineiszeroandslopeofverticallineisundefined. fi fi An acute angle (say θ) between lines L and1L with 2lopes m... |
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| Class XI |
Mathematics |
Mathematics |
9 |
By+ C = 0 from a poi1t 1x , y ) Ax1+ B y1+C is given by d = 2 2 . A + B fi Distance between the parallel linesAx + By + 1 = 0 andAx + By + C 2 0, C1... |
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| Class XII |
Accountancy |
Computerised Accounting System |
4 |
to Pie chart because Figure 4.9 Reprint 2026-27 Computerised Accounting System • Only one data series is used to plot. • The plotted data values ar... |
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| Class XI |
Sociology |
Understanding Society |
4 |
The legal delimitation of tasks office. It is also a part of the publicand authority constrained unbridled domain which is separate from the power ... |
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| Class XII |
Accountancy |
Computerised Accounting System |
2 |
Figure 2.36 respectively. 1. Select the cells that contain the data that we want to fill (A1:A2) into adjacent cells (A3:A10). 2. Drag the fill han... |
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| Class XI |
Physics |
Physics Part-II |
7 |
a region is compressed, the molecules first scientific analysis of wave motion dates back in that region are packed together, and they tend to move... |
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| Class XI |
Physics |
Physics Part-II |
7 |
C HAPTER F OURTEEN W AVES 14.1 INTRODUCTION In the previous Chapter, we studied the motion of objects oscillating in isolation. What happens in a s... |
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| Class XI |
Physics |
Physics Part-II |
7 |
that propagate from one point to another. All our communications essentially depend on transmission of signals through waves. Speech means producti... |
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| Class XI |
Physics |
Physics Part-II |
7 |
on. The disturbance moves Light, radiowaves, X-rays, are all electromagnetic from one end to the other; but each spring only waves. In vacuum, all ... |
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| Class XI |
Physics |
Physics Part-II |
7 |
periodic sinusoidal up Fig. 14.4 Longitudinal waves (sound) generated in a and down jerk to one end of the string. The pipe filled with air by movi... |
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| Class XI |
Physics |
Physics Part-II |
7 |
14.3 DISPLACEMENT RELATION IN A PROGRESSIVE WAVE sustain shearing stress, such as solids and not in fluids. Fluids, as well as, solids can sustain ... |
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